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Finding the Fourth Proportional to 473,039.20, 709,753.20 and 173,663.20

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Solution

The fourth proportional to 473,039.20, 709,753.20 and 173,663.20 is: 260,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,039.20 : 709,753.20 = 173,663.20 : x
  2. Step 2: Convert to fraction form
    473,039.20/709,753.20 = 173,663.20/x
  3. Step 3: Cross multiply
    473,039.20x = 709,753.20 × 173,663.20
  4. Step 4: Simplify right side
    473,039.20x = 123,258,011,922.24
  5. Step 5: Solve for x
    x = 123,258,011,922.24/473,039.20
  6. Step 6: Final answer
    x = 260,566.17

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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.