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Finding the Fourth Proportional to 517,990.52, 713,397.30 and 446,344.40

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Solution

The fourth proportional to 517,990.52, 713,397.30 and 446,344.40 is: 614,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,990.52 : 713,397.30 = 446,344.40 : x
  2. Step 2: Convert to fraction form
    517,990.52/713,397.30 = 446,344.40/x
  3. Step 3: Cross multiply
    517,990.52x = 713,397.30 × 446,344.40
  4. Step 4: Simplify right side
    517,990.52x = 318,420,889,830.12
  5. Step 5: Solve for x
    x = 318,420,889,830.12/517,990.52
  6. Step 6: Final answer
    x = 614,723.39

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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.