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Finding the Fourth Proportional to 417,930.40, 626,996.40 and 137,432.80

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Solution

The fourth proportional to 417,930.40, 626,996.40 and 137,432.80 is: 206,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,930.40 : 626,996.40 = 137,432.80 : x
  2. Step 2: Convert to fraction form
    417,930.40/626,996.40 = 137,432.80/x
  3. Step 3: Cross multiply
    417,930.40x = 626,996.40 × 137,432.80
  4. Step 4: Simplify right side
    417,930.40x = 86,169,870,841.92
  5. Step 5: Solve for x
    x = 86,169,870,841.92/417,930.40
  6. Step 6: Final answer
    x = 206,182.35

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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.