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Finding the Fourth Proportional to 587,524, 881,283.84 and 166,799.92

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Solution

The fourth proportional to 587,524, 881,283.84 and 166,799.92 is: 250,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,524 : 881,283.84 = 166,799.92 : x
  2. Step 2: Convert to fraction form
    587,524/881,283.84 = 166,799.92/x
  3. Step 3: Cross multiply
    587,524x = 881,283.84 × 166,799.92
  4. Step 4: Simplify right side
    587,524x = 146,998,074,009.29
  5. Step 5: Solve for x
    x = 146,998,074,009.29/587,524
  6. Step 6: Final answer
    x = 250,199.27

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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.