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Finding the Fourth Proportional to 435,266.71, 649,365.58 and 411,724.87

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Solution

The fourth proportional to 435,266.71, 649,365.58 and 411,724.87 is: 614,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,266.71 : 649,365.58 = 411,724.87 : x
  2. Step 2: Convert to fraction form
    435,266.71/649,365.58 = 411,724.87/x
  3. Step 3: Cross multiply
    435,266.71x = 649,365.58 × 411,724.87
  4. Step 4: Simplify right side
    435,266.71x = 267,359,962,709.87
  5. Step 5: Solve for x
    x = 267,359,962,709.87/435,266.71
  6. Step 6: Final answer
    x = 614,243.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.