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Finding the Fourth Proportional to 472,004.49, 707,744.28 and 156,289.17

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Solution

The fourth proportional to 472,004.49, 707,744.28 and 156,289.17 is: 234,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,004.49 : 707,744.28 = 156,289.17 : x
  2. Step 2: Convert to fraction form
    472,004.49/707,744.28 = 156,289.17/x
  3. Step 3: Cross multiply
    472,004.49x = 707,744.28 × 156,289.17
  4. Step 4: Simplify right side
    472,004.49x = 110,612,766,093.45
  5. Step 5: Solve for x
    x = 110,612,766,093.45/472,004.49
  6. Step 6: Final answer
    x = 234,346.85

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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.