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Finding the Fourth Proportional to 322,816.20, 484,224.30 and 283,417.80

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Solution

The fourth proportional to 322,816.20, 484,224.30 and 283,417.80 is: 425,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,816.20 : 484,224.30 = 283,417.80 : x
  2. Step 2: Convert to fraction form
    322,816.20/484,224.30 = 283,417.80/x
  3. Step 3: Cross multiply
    322,816.20x = 484,224.30 × 283,417.80
  4. Step 4: Simplify right side
    322,816.20x = 137,237,785,812.54
  5. Step 5: Solve for x
    x = 137,237,785,812.54/322,816.20
  6. Step 6: Final answer
    x = 425,126.70

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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.