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Finding the Fourth Proportional to 511,511.10, 767,266.65 and 432,779.10

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Solution

The fourth proportional to 511,511.10, 767,266.65 and 432,779.10 is: 649,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,511.10 : 767,266.65 = 432,779.10 : x
  2. Step 2: Convert to fraction form
    511,511.10/767,266.65 = 432,779.10/x
  3. Step 3: Cross multiply
    511,511.10x = 767,266.65 × 432,779.10
  4. Step 4: Simplify right side
    511,511.10x = 332,056,970,247.02
  5. Step 5: Solve for x
    x = 332,056,970,247.02/511,511.10
  6. Step 6: Final answer
    x = 649,168.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.