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Finding the Fourth Proportional to 458,843.31, 688,363.35 and 192,450.27

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Solution

The fourth proportional to 458,843.31, 688,363.35 and 192,450.27 is: 288,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,843.31 : 688,363.35 = 192,450.27 : x
  2. Step 2: Convert to fraction form
    458,843.31/688,363.35 = 192,450.27/x
  3. Step 3: Cross multiply
    458,843.31x = 688,363.35 × 192,450.27
  4. Step 4: Simplify right side
    458,843.31x = 132,475,712,565.61
  5. Step 5: Solve for x
    x = 132,475,712,565.61/458,843.31
  6. Step 6: Final answer
    x = 288,716.67

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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.