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Finding the Fourth Proportional to 472,059.61, 708,190.34 and 152,229.70

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Solution

The fourth proportional to 472,059.61, 708,190.34 and 152,229.70 is: 228,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,059.61 : 708,190.34 = 152,229.70 : x
  2. Step 2: Convert to fraction form
    472,059.61/708,190.34 = 152,229.70/x
  3. Step 3: Cross multiply
    472,059.61x = 708,190.34 × 152,229.70
  4. Step 4: Simplify right side
    472,059.61x = 107,807,599,997.91
  5. Step 5: Solve for x
    x = 107,807,599,997.91/472,059.61
  6. Step 6: Final answer
    x = 228,377.09

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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.