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Finding the Fourth Proportional to 550,432.96, 825,642.24 and 195,251.20

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Solution

The fourth proportional to 550,432.96, 825,642.24 and 195,251.20 is: 292,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,432.96 : 825,642.24 = 195,251.20 : x
  2. Step 2: Convert to fraction form
    550,432.96/825,642.24 = 195,251.20/x
  3. Step 3: Cross multiply
    550,432.96x = 825,642.24 × 195,251.20
  4. Step 4: Simplify right side
    550,432.96x = 161,207,638,130.69
  5. Step 5: Solve for x
    x = 161,207,638,130.69/550,432.96
  6. Step 6: Final answer
    x = 292,874.25

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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.