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Finding the Fourth Proportional to 472,753.10, 709,226.85 and 157,436.30

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Solution

The fourth proportional to 472,753.10, 709,226.85 and 157,436.30 is: 236,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,753.10 : 709,226.85 = 157,436.30 : x
  2. Step 2: Convert to fraction form
    472,753.10/709,226.85 = 157,436.30/x
  3. Step 3: Cross multiply
    472,753.10x = 709,226.85 × 157,436.30
  4. Step 4: Simplify right side
    472,753.10x = 111,658,051,124.66
  5. Step 5: Solve for x
    x = 111,658,051,124.66/472,753.10
  6. Step 6: Final answer
    x = 236,186.82

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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.