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Finding the Fourth Proportional to 492,312.92, 738,475.24 and 137,305.34

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Solution

The fourth proportional to 492,312.92, 738,475.24 and 137,305.34 is: 205,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,312.92 : 738,475.24 = 137,305.34 : x
  2. Step 2: Convert to fraction form
    492,312.92/738,475.24 = 137,305.34/x
  3. Step 3: Cross multiply
    492,312.92x = 738,475.24 × 137,305.34
  4. Step 4: Simplify right side
    492,312.92x = 101,396,593,909.78
  5. Step 5: Solve for x
    x = 101,396,593,909.78/492,312.92
  6. Step 6: Final answer
    x = 205,959.64

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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.