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Finding the Fourth Proportional to 337,463.20, 506,267.70 and 100,829.80

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Solution

The fourth proportional to 337,463.20, 506,267.70 and 100,829.80 is: 151,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,463.20 : 506,267.70 = 100,829.80 : x
  2. Step 2: Convert to fraction form
    337,463.20/506,267.70 = 100,829.80/x
  3. Step 3: Cross multiply
    337,463.20x = 506,267.70 × 100,829.80
  4. Step 4: Simplify right side
    337,463.20x = 51,046,870,937.46
  5. Step 5: Solve for x
    x = 51,046,870,937.46/337,463.20
  6. Step 6: Final answer
    x = 151,266.48

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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.