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Finding the Fourth Proportional to 492,468, 738,773.28 and 155,394.24

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Solution

The fourth proportional to 492,468, 738,773.28 and 155,394.24 is: 233,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,468 : 738,773.28 = 155,394.24 : x
  2. Step 2: Convert to fraction form
    492,468/738,773.28 = 155,394.24/x
  3. Step 3: Cross multiply
    492,468x = 738,773.28 × 155,394.24
  4. Step 4: Simplify right side
    492,468x = 114,801,112,377.91
  5. Step 5: Solve for x
    x = 114,801,112,377.91/492,468
  6. Step 6: Final answer
    x = 233,113.85

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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.