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Finding the Fourth Proportional to 362,951.92, 544,538.40 and 185,583.52

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Solution

The fourth proportional to 362,951.92, 544,538.40 and 185,583.52 is: 278,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,951.92 : 544,538.40 = 185,583.52 : x
  2. Step 2: Convert to fraction form
    362,951.92/544,538.40 = 185,583.52/x
  3. Step 3: Cross multiply
    362,951.92x = 544,538.40 × 185,583.52
  4. Step 4: Simplify right side
    362,951.92x = 101,057,353,047.17
  5. Step 5: Solve for x
    x = 101,057,353,047.17/362,951.92
  6. Step 6: Final answer
    x = 278,431.79

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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.