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Finding the Fourth Proportional to 331,491.98, 497,744.63 and 317,845.10

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Solution

The fourth proportional to 331,491.98, 497,744.63 and 317,845.10 is: 477,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,491.98 : 497,744.63 = 317,845.10 : x
  2. Step 2: Convert to fraction form
    331,491.98/497,744.63 = 317,845.10/x
  3. Step 3: Cross multiply
    331,491.98x = 497,744.63 × 317,845.10
  4. Step 4: Simplify right side
    331,491.98x = 158,205,687,618.86
  5. Step 5: Solve for x
    x = 158,205,687,618.86/331,491.98
  6. Step 6: Final answer
    x = 477,253.45

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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.