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Finding the Fourth Proportional to 461,458.10, 692,187.15 and 431,714.90

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Solution

The fourth proportional to 461,458.10, 692,187.15 and 431,714.90 is: 647,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,458.10 : 692,187.15 = 431,714.90 : x
  2. Step 2: Convert to fraction form
    461,458.10/692,187.15 = 431,714.90/x
  3. Step 3: Cross multiply
    461,458.10x = 692,187.15 × 431,714.90
  4. Step 4: Simplify right side
    461,458.10x = 298,827,506,243.54
  5. Step 5: Solve for x
    x = 298,827,506,243.54/461,458.10
  6. Step 6: Final answer
    x = 647,572.35

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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.