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Finding the Fourth Proportional to 431,149.40, 646,724.10 and 331,501.40

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Solution

The fourth proportional to 431,149.40, 646,724.10 and 331,501.40 is: 497,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,149.40 : 646,724.10 = 331,501.40 : x
  2. Step 2: Convert to fraction form
    431,149.40/646,724.10 = 331,501.40/x
  3. Step 3: Cross multiply
    431,149.40x = 646,724.10 × 331,501.40
  4. Step 4: Simplify right side
    431,149.40x = 214,389,944,563.74
  5. Step 5: Solve for x
    x = 214,389,944,563.74/431,149.40
  6. Step 6: Final answer
    x = 497,252.10

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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.