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Finding the Fourth Proportional to 806,475.40, 1,209,713.10 and 523,040.20

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Solution

The fourth proportional to 806,475.40, 1,209,713.10 and 523,040.20 is: 784,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,475.40 : 1,209,713.10 = 523,040.20 : x
  2. Step 2: Convert to fraction form
    806,475.40/1,209,713.10 = 523,040.20/x
  3. Step 3: Cross multiply
    806,475.40x = 1,209,713.10 × 523,040.20
  4. Step 4: Simplify right side
    806,475.40x = 632,728,581,766.62
  5. Step 5: Solve for x
    x = 632,728,581,766.62/806,475.40
  6. Step 6: Final answer
    x = 784,560.30

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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.