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Finding the Fourth Proportional to 564,956.28, 847,564.80 and 165,627.84

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Solution

The fourth proportional to 564,956.28, 847,564.80 and 165,627.84 is: 248,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,956.28 : 847,564.80 = 165,627.84 : x
  2. Step 2: Convert to fraction form
    564,956.28/847,564.80 = 165,627.84/x
  3. Step 3: Cross multiply
    564,956.28x = 847,564.80 × 165,627.84
  4. Step 4: Simplify right side
    564,956.28x = 140,380,327,084.03
  5. Step 5: Solve for x
    x = 140,380,327,084.03/564,956.28
  6. Step 6: Final answer
    x = 248,479.98

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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.