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Finding the Fourth Proportional to 461,456.40, 691,601.40 and 411,301.20

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Solution

The fourth proportional to 461,456.40, 691,601.40 and 411,301.20 is: 616,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,456.40 : 691,601.40 = 411,301.20 : x
  2. Step 2: Convert to fraction form
    461,456.40/691,601.40 = 411,301.20/x
  3. Step 3: Cross multiply
    461,456.40x = 691,601.40 × 411,301.20
  4. Step 4: Simplify right side
    461,456.40x = 284,456,485,741.68
  5. Step 5: Solve for x
    x = 284,456,485,741.68/461,456.40
  6. Step 6: Final answer
    x = 616,431.99

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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.