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Finding the Fourth Proportional to 520,846.20, 781,269.30 and 146,869.20

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Solution

The fourth proportional to 520,846.20, 781,269.30 and 146,869.20 is: 220,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,846.20 : 781,269.30 = 146,869.20 : x
  2. Step 2: Convert to fraction form
    520,846.20/781,269.30 = 146,869.20/x
  3. Step 3: Cross multiply
    520,846.20x = 781,269.30 × 146,869.20
  4. Step 4: Simplify right side
    520,846.20x = 114,744,397,075.56
  5. Step 5: Solve for x
    x = 114,744,397,075.56/520,846.20
  6. Step 6: Final answer
    x = 220,303.80

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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.