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Finding the Fourth Proportional to 475,116.46, 712,778.46 and 159,565.12

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Solution

The fourth proportional to 475,116.46, 712,778.46 and 159,565.12 is: 239,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,116.46 : 712,778.46 = 159,565.12 : x
  2. Step 2: Convert to fraction form
    475,116.46/712,778.46 = 159,565.12/x
  3. Step 3: Cross multiply
    475,116.46x = 712,778.46 × 159,565.12
  4. Step 4: Simplify right side
    475,116.46x = 113,734,580,503.32
  5. Step 5: Solve for x
    x = 113,734,580,503.32/475,116.46
  6. Step 6: Final answer
    x = 239,382.53

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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.