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Finding the Fourth Proportional to 726,669, 1,002,803.22 and 408,717

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Solution

The fourth proportional to 726,669, 1,002,803.22 and 408,717 is: 564,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,669 : 1,002,803.22 = 408,717 : x
  2. Step 2: Convert to fraction form
    726,669/1,002,803.22 = 408,717/x
  3. Step 3: Cross multiply
    726,669x = 1,002,803.22 × 408,717
  4. Step 4: Simplify right side
    726,669x = 409,862,723,668.74
  5. Step 5: Solve for x
    x = 409,862,723,668.74/726,669
  6. Step 6: Final answer
    x = 564,029.46

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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.