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Finding the Fourth Proportional to 362,232.30, 543,348.45 and 287,582.70

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Solution

The fourth proportional to 362,232.30, 543,348.45 and 287,582.70 is: 431,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,232.30 : 543,348.45 = 287,582.70 : x
  2. Step 2: Convert to fraction form
    362,232.30/543,348.45 = 287,582.70/x
  3. Step 3: Cross multiply
    362,232.30x = 543,348.45 × 287,582.70
  4. Step 4: Simplify right side
    362,232.30x = 156,257,614,291.82
  5. Step 5: Solve for x
    x = 156,257,614,291.82/362,232.30
  6. Step 6: Final answer
    x = 431,374.05

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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.