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Finding the Fourth Proportional to 362,039.58, 543,456.65 and 287,637.98

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Solution

The fourth proportional to 362,039.58, 543,456.65 and 287,637.98 is: 431,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,039.58 : 543,456.65 = 287,637.98 : x
  2. Step 2: Convert to fraction form
    362,039.58/543,456.65 = 287,637.98/x
  3. Step 3: Cross multiply
    362,039.58x = 543,456.65 × 287,637.98
  4. Step 4: Simplify right side
    362,039.58x = 156,318,773,023.57
  5. Step 5: Solve for x
    x = 156,318,773,023.57/362,039.58
  6. Step 6: Final answer
    x = 431,772.61

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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.