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Finding the Fourth Proportional to 713,711.40, 984,920.22 and 411,905.40

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Solution

The fourth proportional to 713,711.40, 984,920.22 and 411,905.40 is: 568,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,711.40 : 984,920.22 = 411,905.40 : x
  2. Step 2: Convert to fraction form
    713,711.40/984,920.22 = 411,905.40/x
  3. Step 3: Cross multiply
    713,711.40x = 984,920.22 × 411,905.40
  4. Step 4: Simplify right side
    713,711.40x = 405,693,957,187.19
  5. Step 5: Solve for x
    x = 405,693,957,187.19/713,711.40
  6. Step 6: Final answer
    x = 568,428.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.