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Finding the Fourth Proportional to 475,013.97, 712,595.07 and 159,544.89

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Solution

The fourth proportional to 475,013.97, 712,595.07 and 159,544.89 is: 239,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,013.97 : 712,595.07 = 159,544.89 : x
  2. Step 2: Convert to fraction form
    475,013.97/712,595.07 = 159,544.89/x
  3. Step 3: Cross multiply
    475,013.97x = 712,595.07 × 159,544.89
  4. Step 4: Simplify right side
    475,013.97x = 113,690,902,057.69
  5. Step 5: Solve for x
    x = 113,690,902,057.69/475,013.97
  6. Step 6: Final answer
    x = 239,342.23

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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.