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Finding the Fourth Proportional to 363,049.40, 543,926.10 and 175,647.80

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Solution

The fourth proportional to 363,049.40, 543,926.10 and 175,647.80 is: 263,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,049.40 : 543,926.10 = 175,647.80 : x
  2. Step 2: Convert to fraction form
    363,049.40/543,926.10 = 175,647.80/x
  3. Step 3: Cross multiply
    363,049.40x = 543,926.10 × 175,647.80
  4. Step 4: Simplify right side
    363,049.40x = 95,539,422,827.58
  5. Step 5: Solve for x
    x = 95,539,422,827.58/363,049.40
  6. Step 6: Final answer
    x = 263,158.19

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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.