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Finding the Fourth Proportional to 338,736, 466,282.40 and 292,774.68

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Solution

The fourth proportional to 338,736, 466,282.40 and 292,774.68 is: 403,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,736 : 466,282.40 = 292,774.68 : x
  2. Step 2: Convert to fraction form
    338,736/466,282.40 = 292,774.68/x
  3. Step 3: Cross multiply
    338,736x = 466,282.40 × 292,774.68
  4. Step 4: Simplify right side
    338,736x = 136,515,680,449.63
  5. Step 5: Solve for x
    x = 136,515,680,449.63/338,736
  6. Step 6: Final answer
    x = 403,014.97

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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.