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Finding the Fourth Proportional to 473,029.20, 709,738.20 and 173,653.20

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Solution

The fourth proportional to 473,029.20, 709,738.20 and 173,653.20 is: 260,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,029.20 : 709,738.20 = 173,653.20 : x
  2. Step 2: Convert to fraction form
    473,029.20/709,738.20 = 173,653.20/x
  3. Step 3: Cross multiply
    473,029.20x = 709,738.20 × 173,653.20
  4. Step 4: Simplify right side
    473,029.20x = 123,248,309,592.24
  5. Step 5: Solve for x
    x = 123,248,309,592.24/473,029.20
  6. Step 6: Final answer
    x = 260,551.17

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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.