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Finding the Fourth Proportional to 414,652.38, 572,396.86 and 278,765.15

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Solution

The fourth proportional to 414,652.38, 572,396.86 and 278,765.15 is: 384,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,652.38 : 572,396.86 = 278,765.15 : x
  2. Step 2: Convert to fraction form
    414,652.38/572,396.86 = 278,765.15/x
  3. Step 3: Cross multiply
    414,652.38x = 572,396.86 × 278,765.15
  4. Step 4: Simplify right side
    414,652.38x = 159,564,296,537.43
  5. Step 5: Solve for x
    x = 159,564,296,537.43/414,652.38
  6. Step 6: Final answer
    x = 384,814.62

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Why These Related Problems?

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