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Finding the Fourth Proportional to 362,296.80, 543,445.02 and 112,978.80

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Solution

The fourth proportional to 362,296.80, 543,445.02 and 112,978.80 is: 169,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,296.80 : 543,445.02 = 112,978.80 : x
  2. Step 2: Convert to fraction form
    362,296.80/543,445.02 = 112,978.80/x
  3. Step 3: Cross multiply
    362,296.80x = 543,445.02 × 112,978.80
  4. Step 4: Simplify right side
    362,296.80x = 61,397,766,225.58
  5. Step 5: Solve for x
    x = 61,397,766,225.58/362,296.80
  6. Step 6: Final answer
    x = 169,468.14

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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.