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Finding the Fourth Proportional to 338,216.78, 466,743.94 and 185,251.86

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Solution

The fourth proportional to 338,216.78, 466,743.94 and 185,251.86 is: 255,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,216.78 : 466,743.94 = 185,251.86 : x
  2. Step 2: Convert to fraction form
    338,216.78/466,743.94 = 185,251.86/x
  3. Step 3: Cross multiply
    338,216.78x = 466,743.94 × 185,251.86
  4. Step 4: Simplify right side
    338,216.78x = 86,465,182,565.60
  5. Step 5: Solve for x
    x = 86,465,182,565.60/338,216.78
  6. Step 6: Final answer
    x = 255,650.18

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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.