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Finding the Fourth Proportional to 820,122.30, 1,229,199.30 and 420,557.40

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Solution

The fourth proportional to 820,122.30, 1,229,199.30 and 420,557.40 is: 630,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,122.30 : 1,229,199.30 = 420,557.40 : x
  2. Step 2: Convert to fraction form
    820,122.30/1,229,199.30 = 420,557.40/x
  3. Step 3: Cross multiply
    820,122.30x = 1,229,199.30 × 420,557.40
  4. Step 4: Simplify right side
    820,122.30x = 516,948,861,689.82
  5. Step 5: Solve for x
    x = 516,948,861,689.82/820,122.30
  6. Step 6: Final answer
    x = 630,331.43

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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.