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Finding the Fourth Proportional to 362,318.96, 543,593.25 and 282,630.15

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Solution

The fourth proportional to 362,318.96, 543,593.25 and 282,630.15 is: 424,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,318.96 : 543,593.25 = 282,630.15 : x
  2. Step 2: Convert to fraction form
    362,318.96/543,593.25 = 282,630.15/x
  3. Step 3: Cross multiply
    362,318.96x = 543,593.25 × 282,630.15
  4. Step 4: Simplify right side
    362,318.96x = 153,635,841,786.49
  5. Step 5: Solve for x
    x = 153,635,841,786.49/362,318.96
  6. Step 6: Final answer
    x = 424,034.79

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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.