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Finding the Fourth Proportional to 511,256.10, 766,884.15 and 456,143.70

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Solution

The fourth proportional to 511,256.10, 766,884.15 and 456,143.70 is: 684,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,256.10 : 766,884.15 = 456,143.70 : x
  2. Step 2: Convert to fraction form
    511,256.10/766,884.15 = 456,143.70/x
  3. Step 3: Cross multiply
    511,256.10x = 766,884.15 × 456,143.70
  4. Step 4: Simplify right side
    511,256.10x = 349,809,373,652.36
  5. Step 5: Solve for x
    x = 349,809,373,652.36/511,256.10
  6. Step 6: Final answer
    x = 684,215.55

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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.