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Finding the Fourth Proportional to 472,737.96, 709,108.56 and 117,751.32

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Solution

The fourth proportional to 472,737.96, 709,108.56 and 117,751.32 is: 176,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,737.96 : 709,108.56 = 117,751.32 : x
  2. Step 2: Convert to fraction form
    472,737.96/709,108.56 = 117,751.32/x
  3. Step 3: Cross multiply
    472,737.96x = 709,108.56 × 117,751.32
  4. Step 4: Simplify right side
    472,737.96x = 83,498,468,963.30
  5. Step 5: Solve for x
    x = 83,498,468,963.30/472,737.96
  6. Step 6: Final answer
    x = 176,627.38

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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.