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Finding the Fourth Proportional to 362,454.24, 543,756.72 and 109,748.88

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Solution

The fourth proportional to 362,454.24, 543,756.72 and 109,748.88 is: 164,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,454.24 : 543,756.72 = 109,748.88 : x
  2. Step 2: Convert to fraction form
    362,454.24/543,756.72 = 109,748.88/x
  3. Step 3: Cross multiply
    362,454.24x = 543,756.72 × 109,748.88
  4. Step 4: Simplify right side
    362,454.24x = 59,676,691,012.47
  5. Step 5: Solve for x
    x = 59,676,691,012.47/362,454.24
  6. Step 6: Final answer
    x = 164,646.14

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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.