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Finding the Fourth Proportional to 486,177.84, 729,344.52 and 205,697.52

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Solution

The fourth proportional to 486,177.84, 729,344.52 and 205,697.52 is: 308,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,177.84 : 729,344.52 = 205,697.52 : x
  2. Step 2: Convert to fraction form
    486,177.84/729,344.52 = 205,697.52/x
  3. Step 3: Cross multiply
    486,177.84x = 729,344.52 × 205,697.52
  4. Step 4: Simplify right side
    486,177.84x = 150,024,358,989.59
  5. Step 5: Solve for x
    x = 150,024,358,989.59/486,177.84
  6. Step 6: Final answer
    x = 308,579.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.