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Finding the Fourth Proportional to 414,641.68, 572,209.58 and 230,882.83

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Solution

The fourth proportional to 414,641.68, 572,209.58 and 230,882.83 is: 318,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,641.68 : 572,209.58 = 230,882.83 : x
  2. Step 2: Convert to fraction form
    414,641.68/572,209.58 = 230,882.83/x
  3. Step 3: Cross multiply
    414,641.68x = 572,209.58 × 230,882.83
  4. Step 4: Simplify right side
    414,641.68x = 132,113,367,183.51
  5. Step 5: Solve for x
    x = 132,113,367,183.51/414,641.68
  6. Step 6: Final answer
    x = 318,620.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.