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Finding the Fourth Proportional to 564,871.08, 847,265.60 and 185,787.44

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Solution

The fourth proportional to 564,871.08, 847,265.60 and 185,787.44 is: 278,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,871.08 : 847,265.60 = 185,787.44 : x
  2. Step 2: Convert to fraction form
    564,871.08/847,265.60 = 185,787.44/x
  3. Step 3: Cross multiply
    564,871.08x = 847,265.60 × 185,787.44
  4. Step 4: Simplify right side
    564,871.08x = 157,411,306,229.45
  5. Step 5: Solve for x
    x = 157,411,306,229.45/564,871.08
  6. Step 6: Final answer
    x = 278,667.67

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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.