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Finding the Fourth Proportional to 461,651.40, 691,893.90 and 411,496.20

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Solution

The fourth proportional to 461,651.40, 691,893.90 and 411,496.20 is: 616,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,651.40 : 691,893.90 = 411,496.20 : x
  2. Step 2: Convert to fraction form
    461,651.40/691,893.90 = 411,496.20/x
  3. Step 3: Cross multiply
    461,651.40x = 691,893.90 × 411,496.20
  4. Step 4: Simplify right side
    461,651.40x = 284,711,710,653.18
  5. Step 5: Solve for x
    x = 284,711,710,653.18/461,651.40
  6. Step 6: Final answer
    x = 616,724.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.