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Finding the Fourth Proportional to 563,167.92, 844,754.71 and 142,444.20

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Solution

The fourth proportional to 563,167.92, 844,754.71 and 142,444.20 is: 213,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,167.92 : 844,754.71 = 142,444.20 : x
  2. Step 2: Convert to fraction form
    563,167.92/844,754.71 = 142,444.20/x
  3. Step 3: Cross multiply
    563,167.92x = 844,754.71 × 142,444.20
  4. Step 4: Simplify right side
    563,167.92x = 120,330,408,862.18
  5. Step 5: Solve for x
    x = 120,330,408,862.18/563,167.92
  6. Step 6: Final answer
    x = 213,667.02

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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.