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Finding the Fourth Proportional to 314,737.20, 472,105.80 and 146,257.20

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Solution

The fourth proportional to 314,737.20, 472,105.80 and 146,257.20 is: 219,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,737.20 : 472,105.80 = 146,257.20 : x
  2. Step 2: Convert to fraction form
    314,737.20/472,105.80 = 146,257.20/x
  3. Step 3: Cross multiply
    314,737.20x = 472,105.80 × 146,257.20
  4. Step 4: Simplify right side
    314,737.20x = 69,048,872,411.76
  5. Step 5: Solve for x
    x = 69,048,872,411.76/314,737.20
  6. Step 6: Final answer
    x = 219,385.80

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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.