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Finding the Fourth Proportional to 492,314.54, 738,406.13 and 137,298.83

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Solution

The fourth proportional to 492,314.54, 738,406.13 and 137,298.83 is: 205,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,314.54 : 738,406.13 = 137,298.83 : x
  2. Step 2: Convert to fraction form
    492,314.54/738,406.13 = 137,298.83/x
  3. Step 3: Cross multiply
    492,314.54x = 738,406.13 × 137,298.83
  4. Step 4: Simplify right side
    492,314.54x = 101,382,293,335.30
  5. Step 5: Solve for x
    x = 101,382,293,335.30/492,314.54
  6. Step 6: Final answer
    x = 205,929.92

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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.