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Finding the Fourth Proportional to 492,207.85, 738,353.47 and 137,222.22

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Solution

The fourth proportional to 492,207.85, 738,353.47 and 137,222.22 is: 205,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,207.85 : 738,353.47 = 137,222.22 : x
  2. Step 2: Convert to fraction form
    492,207.85/738,353.47 = 137,222.22/x
  3. Step 3: Cross multiply
    492,207.85x = 738,353.47 × 137,222.22
  4. Step 4: Simplify right side
    492,207.85x = 101,318,502,298.10
  5. Step 5: Solve for x
    x = 101,318,502,298.10/492,207.85
  6. Step 6: Final answer
    x = 205,844.95

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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.