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Finding the Fourth Proportional to 338,259.74, 466,781.78 and 185,298.59

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Solution

The fourth proportional to 338,259.74, 466,781.78 and 185,298.59 is: 255,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,259.74 : 466,781.78 = 185,298.59 : x
  2. Step 2: Convert to fraction form
    338,259.74/466,781.78 = 185,298.59/x
  3. Step 3: Cross multiply
    338,259.74x = 466,781.78 × 185,298.59
  4. Step 4: Simplify right side
    338,259.74x = 86,494,002,411.29
  5. Step 5: Solve for x
    x = 86,494,002,411.29/338,259.74
  6. Step 6: Final answer
    x = 255,702.92

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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.