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Finding the Fourth Proportional to 410,618.40, 614,545.20 and 377,440.80

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Solution

The fourth proportional to 410,618.40, 614,545.20 and 377,440.80 is: 564,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,618.40 : 614,545.20 = 377,440.80 : x
  2. Step 2: Convert to fraction form
    410,618.40/614,545.20 = 377,440.80/x
  3. Step 3: Cross multiply
    410,618.40x = 614,545.20 × 377,440.80
  4. Step 4: Simplify right side
    410,618.40x = 231,954,431,924.16
  5. Step 5: Solve for x
    x = 231,954,431,924.16/410,618.40
  6. Step 6: Final answer
    x = 564,890.50

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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.