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Finding the Fourth Proportional to 475,045.66, 712,634.10 and 159,592.78

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Solution

The fourth proportional to 475,045.66, 712,634.10 and 159,592.78 is: 239,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,045.66 : 712,634.10 = 159,592.78 : x
  2. Step 2: Convert to fraction form
    475,045.66/712,634.10 = 159,592.78/x
  3. Step 3: Cross multiply
    475,045.66x = 712,634.10 × 159,592.78
  4. Step 4: Simplify right side
    475,045.66x = 113,731,257,141.80
  5. Step 5: Solve for x
    x = 113,731,257,141.80/475,045.66
  6. Step 6: Final answer
    x = 239,411.21

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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.