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Finding the Fourth Proportional to 511,533.10, 767,299.65 and 432,801.10

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Solution

The fourth proportional to 511,533.10, 767,299.65 and 432,801.10 is: 649,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,533.10 : 767,299.65 = 432,801.10 : x
  2. Step 2: Convert to fraction form
    511,533.10/767,299.65 = 432,801.10/x
  3. Step 3: Cross multiply
    511,533.10x = 767,299.65 × 432,801.10
  4. Step 4: Simplify right side
    511,533.10x = 332,088,132,549.62
  5. Step 5: Solve for x
    x = 332,088,132,549.62/511,533.10
  6. Step 6: Final answer
    x = 649,201.65

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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.