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Finding the Fourth Proportional to 461,625.90, 691,855.65 and 411,470.70

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Solution

The fourth proportional to 461,625.90, 691,855.65 and 411,470.70 is: 616,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,625.90 : 691,855.65 = 411,470.70 : x
  2. Step 2: Convert to fraction form
    461,625.90/691,855.65 = 411,470.70/x
  3. Step 3: Cross multiply
    461,625.90x = 691,855.65 × 411,470.70
  4. Step 4: Simplify right side
    461,625.90x = 284,678,328,604.46
  5. Step 5: Solve for x
    x = 284,678,328,604.46/461,625.90
  6. Step 6: Final answer
    x = 616,686.21

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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.