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Finding the Fourth Proportional to 486,180.84, 729,349.02 and 205,700.52

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Solution

The fourth proportional to 486,180.84, 729,349.02 and 205,700.52 is: 308,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,180.84 : 729,349.02 = 205,700.52 : x
  2. Step 2: Convert to fraction form
    486,180.84/729,349.02 = 205,700.52/x
  3. Step 3: Cross multiply
    486,180.84x = 729,349.02 × 205,700.52
  4. Step 4: Simplify right side
    486,180.84x = 150,027,472,675.49
  5. Step 5: Solve for x
    x = 150,027,472,675.49/486,180.84
  6. Step 6: Final answer
    x = 308,583.68

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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.