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Finding the Fourth Proportional to 523,824.12, 722,882.34 and 297,471.24

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Solution

The fourth proportional to 523,824.12, 722,882.34 and 297,471.24 is: 410,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,824.12 : 722,882.34 = 297,471.24 : x
  2. Step 2: Convert to fraction form
    523,824.12/722,882.34 = 297,471.24/x
  3. Step 3: Cross multiply
    523,824.12x = 722,882.34 × 297,471.24
  4. Step 4: Simplify right side
    523,824.12x = 215,036,706,053.90
  5. Step 5: Solve for x
    x = 215,036,706,053.90/523,824.12
  6. Step 6: Final answer
    x = 410,513.18

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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.