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Finding the Fourth Proportional to 472,002.13, 707,740.74 and 156,286.81

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Solution

The fourth proportional to 472,002.13, 707,740.74 and 156,286.81 is: 234,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,002.13 : 707,740.74 = 156,286.81 : x
  2. Step 2: Convert to fraction form
    472,002.13/707,740.74 = 156,286.81/x
  3. Step 3: Cross multiply
    472,002.13x = 707,740.74 × 156,286.81
  4. Step 4: Simplify right side
    472,002.13x = 110,610,542,561.64
  5. Step 5: Solve for x
    x = 110,610,542,561.64/472,002.13
  6. Step 6: Final answer
    x = 234,343.31

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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.