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Finding the Fourth Proportional to 652,134.40, 978,371.70 and 252,788.20

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Solution

The fourth proportional to 652,134.40, 978,371.70 and 252,788.20 is: 379,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,134.40 : 978,371.70 = 252,788.20 : x
  2. Step 2: Convert to fraction form
    652,134.40/978,371.70 = 252,788.20/x
  3. Step 3: Cross multiply
    652,134.40x = 978,371.70 × 252,788.20
  4. Step 4: Simplify right side
    652,134.40x = 247,320,820,973.94
  5. Step 5: Solve for x
    x = 247,320,820,973.94/652,134.40
  6. Step 6: Final answer
    x = 379,248.24

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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.