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Finding the Fourth Proportional to 520,847.20, 781,270.80 and 146,870.20

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Solution

The fourth proportional to 520,847.20, 781,270.80 and 146,870.20 is: 220,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,847.20 : 781,270.80 = 146,870.20 : x
  2. Step 2: Convert to fraction form
    520,847.20/781,270.80 = 146,870.20/x
  3. Step 3: Cross multiply
    520,847.20x = 781,270.80 × 146,870.20
  4. Step 4: Simplify right side
    520,847.20x = 114,745,398,650.16
  5. Step 5: Solve for x
    x = 114,745,398,650.16/520,847.20
  6. Step 6: Final answer
    x = 220,305.30

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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.