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Finding the Fourth Proportional to 587,542, 881,310.84 and 166,817.92

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Solution

The fourth proportional to 587,542, 881,310.84 and 166,817.92 is: 250,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,542 : 881,310.84 = 166,817.92 : x
  2. Step 2: Convert to fraction form
    587,542/881,310.84 = 166,817.92/x
  3. Step 3: Cross multiply
    587,542x = 881,310.84 × 166,817.92
  4. Step 4: Simplify right side
    587,542x = 147,018,441,202.25
  5. Step 5: Solve for x
    x = 147,018,441,202.25/587,542
  6. Step 6: Final answer
    x = 250,226.27

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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.