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Finding the Fourth Proportional to 461,592.40, 691,805.40 and 411,437.20

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Solution

The fourth proportional to 461,592.40, 691,805.40 and 411,437.20 is: 616,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,592.40 : 691,805.40 = 411,437.20 : x
  2. Step 2: Convert to fraction form
    461,592.40/691,805.40 = 411,437.20/x
  3. Step 3: Cross multiply
    461,592.40x = 691,805.40 × 411,437.20
  4. Step 4: Simplify right side
    461,592.40x = 284,634,476,720.88
  5. Step 5: Solve for x
    x = 284,634,476,720.88/461,592.40
  6. Step 6: Final answer
    x = 616,635.97

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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.