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Finding the Fourth Proportional to 726,267, 1,002,248.46 and 408,315

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Solution

The fourth proportional to 726,267, 1,002,248.46 and 408,315 is: 563,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,267 : 1,002,248.46 = 408,315 : x
  2. Step 2: Convert to fraction form
    726,267/1,002,248.46 = 408,315/x
  3. Step 3: Cross multiply
    726,267x = 1,002,248.46 × 408,315
  4. Step 4: Simplify right side
    726,267x = 409,233,079,944.90
  5. Step 5: Solve for x
    x = 409,233,079,944.90/726,267
  6. Step 6: Final answer
    x = 563,474.70

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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.