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Finding the Fourth Proportional to 409,399.20, 614,098.80 and 304,423.20

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Solution

The fourth proportional to 409,399.20, 614,098.80 and 304,423.20 is: 456,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,399.20 : 614,098.80 = 304,423.20 : x
  2. Step 2: Convert to fraction form
    409,399.20/614,098.80 = 304,423.20/x
  3. Step 3: Cross multiply
    409,399.20x = 614,098.80 × 304,423.20
  4. Step 4: Simplify right side
    409,399.20x = 186,945,921,812.16
  5. Step 5: Solve for x
    x = 186,945,921,812.16/409,399.20
  6. Step 6: Final answer
    x = 456,634.80

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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.