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Finding the Fourth Proportional to 492,298.92, 738,572.98 and 137,312.96

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Solution

The fourth proportional to 492,298.92, 738,572.98 and 137,312.96 is: 206,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,298.92 : 738,572.98 = 137,312.96 : x
  2. Step 2: Convert to fraction form
    492,298.92/738,572.98 = 137,312.96/x
  3. Step 3: Cross multiply
    492,298.92x = 738,572.98 × 137,312.96
  4. Step 4: Simplify right side
    492,298.92x = 101,415,642,059.82
  5. Step 5: Solve for x
    x = 101,415,642,059.82/492,298.92
  6. Step 6: Final answer
    x = 206,004.19

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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.