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Finding the Fourth Proportional to 520,847.70, 781,271.55 and 146,870.70

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Solution

The fourth proportional to 520,847.70, 781,271.55 and 146,870.70 is: 220,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,847.70 : 781,271.55 = 146,870.70 : x
  2. Step 2: Convert to fraction form
    520,847.70/781,271.55 = 146,870.70/x
  3. Step 3: Cross multiply
    520,847.70x = 781,271.55 × 146,870.70
  4. Step 4: Simplify right side
    520,847.70x = 114,745,899,438.59
  5. Step 5: Solve for x
    x = 114,745,899,438.59/520,847.70
  6. Step 6: Final answer
    x = 220,306.05

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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.