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Finding the Fourth Proportional to 461,591.40, 691,803.90 and 411,436.20

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Solution

The fourth proportional to 461,591.40, 691,803.90 and 411,436.20 is: 616,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,591.40 : 691,803.90 = 411,436.20 : x
  2. Step 2: Convert to fraction form
    461,591.40/691,803.90 = 411,436.20/x
  3. Step 3: Cross multiply
    461,591.40x = 691,803.90 × 411,436.20
  4. Step 4: Simplify right side
    461,591.40x = 284,633,167,761.18
  5. Step 5: Solve for x
    x = 284,633,167,761.18/461,591.40
  6. Step 6: Final answer
    x = 616,634.47

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1.5x scale

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.