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Finding the Fourth Proportional to 463,217.20, 694,825.80 and 456,218.80

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Solution

The fourth proportional to 463,217.20, 694,825.80 and 456,218.80 is: 684,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,217.20 : 694,825.80 = 456,218.80 : x
  2. Step 2: Convert to fraction form
    463,217.20/694,825.80 = 456,218.80/x
  3. Step 3: Cross multiply
    463,217.20x = 694,825.80 × 456,218.80
  4. Step 4: Simplify right side
    463,217.20x = 316,992,592,685.04
  5. Step 5: Solve for x
    x = 316,992,592,685.04/463,217.20
  6. Step 6: Final answer
    x = 684,328.20

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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.