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Finding the Fourth Proportional to 475,132.64, 712,847.20 and 159,603.24

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Solution

The fourth proportional to 475,132.64, 712,847.20 and 159,603.24 is: 239,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,132.64 : 712,847.20 = 159,603.24 : x
  2. Step 2: Convert to fraction form
    475,132.64/712,847.20 = 159,603.24/x
  3. Step 3: Cross multiply
    475,132.64x = 712,847.20 × 159,603.24
  4. Step 4: Simplify right side
    475,132.64x = 113,772,722,744.93
  5. Step 5: Solve for x
    x = 113,772,722,744.93/475,132.64
  6. Step 6: Final answer
    x = 239,454.66

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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.