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Finding the Fourth Proportional to 298,191.68, 447,287.52 and 76,575.68

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Solution

The fourth proportional to 298,191.68, 447,287.52 and 76,575.68 is: 114,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191.68 : 447,287.52 = 76,575.68 : x
  2. Step 2: Convert to fraction form
    298,191.68/447,287.52 = 76,575.68/x
  3. Step 3: Cross multiply
    298,191.68x = 447,287.52 × 76,575.68
  4. Step 4: Simplify right side
    298,191.68x = 34,251,345,999.51
  5. Step 5: Solve for x
    x = 34,251,345,999.51/298,191.68
  6. Step 6: Final answer
    x = 114,863.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.