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Finding the Fourth Proportional to 492,414.12, 738,475.38 and 137,342.52

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Solution

The fourth proportional to 492,414.12, 738,475.38 and 137,342.52 is: 205,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,414.12 : 738,475.38 = 137,342.52 : x
  2. Step 2: Convert to fraction form
    492,414.12/738,475.38 = 137,342.52/x
  3. Step 3: Cross multiply
    492,414.12x = 738,475.38 × 137,342.52
  4. Step 4: Simplify right side
    492,414.12x = 101,424,069,647.16
  5. Step 5: Solve for x
    x = 101,424,069,647.16/492,414.12
  6. Step 6: Final answer
    x = 205,973.11

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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.