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Finding the Fourth Proportional to 392,154.96, 587,994.88 and 175,974.04

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Solution

The fourth proportional to 392,154.96, 587,994.88 and 175,974.04 is: 263,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,154.96 : 587,994.88 = 175,974.04 : x
  2. Step 2: Convert to fraction form
    392,154.96/587,994.88 = 175,974.04/x
  3. Step 3: Cross multiply
    392,154.96x = 587,994.88 × 175,974.04
  4. Step 4: Simplify right side
    392,154.96x = 103,471,834,532.92
  5. Step 5: Solve for x
    x = 103,471,834,532.92/392,154.96
  6. Step 6: Final answer
    x = 263,854.46

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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.