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Finding the Fourth Proportional to 472,093.20, 708,349.10 and 247,400.24

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Solution

The fourth proportional to 472,093.20, 708,349.10 and 247,400.24 is: 371,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,093.20 : 708,349.10 = 247,400.24 : x
  2. Step 2: Convert to fraction form
    472,093.20/708,349.10 = 247,400.24/x
  3. Step 3: Cross multiply
    472,093.20x = 708,349.10 × 247,400.24
  4. Step 4: Simplify right side
    472,093.20x = 175,245,737,343.78
  5. Step 5: Solve for x
    x = 175,245,737,343.78/472,093.20
  6. Step 6: Final answer
    x = 371,210.04

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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.