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Finding the Fourth Proportional to 473,113.20, 709,864.20 and 173,737.20

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Solution

The fourth proportional to 473,113.20, 709,864.20 and 173,737.20 is: 260,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,113.20 : 709,864.20 = 173,737.20 : x
  2. Step 2: Convert to fraction form
    473,113.20/709,864.20 = 173,737.20/x
  3. Step 3: Cross multiply
    473,113.20x = 709,864.20 × 173,737.20
  4. Step 4: Simplify right side
    473,113.20x = 123,329,818,488.24
  5. Step 5: Solve for x
    x = 123,329,818,488.24/473,113.20
  6. Step 6: Final answer
    x = 260,677.19

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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.