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Finding the Fourth Proportional to 414,777.38, 572,569.72 and 278,890.10

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Solution

The fourth proportional to 414,777.38, 572,569.72 and 278,890.10 is: 384,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,777.38 : 572,569.72 = 278,890.10 : x
  2. Step 2: Convert to fraction form
    414,777.38/572,569.72 = 278,890.10/x
  3. Step 3: Cross multiply
    414,777.38x = 572,569.72 × 278,890.10
  4. Step 4: Simplify right side
    414,777.38x = 159,684,024,228.86
  5. Step 5: Solve for x
    x = 159,684,024,228.86/414,777.38
  6. Step 6: Final answer
    x = 384,987.30

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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.