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Finding the Fourth Proportional to 302,027.78, 416,799.98 and 177,854.17

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Solution

The fourth proportional to 302,027.78, 416,799.98 and 177,854.17 is: 245,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,027.78 : 416,799.98 = 177,854.17 : x
  2. Step 2: Convert to fraction form
    302,027.78/416,799.98 = 177,854.17/x
  3. Step 3: Cross multiply
    302,027.78x = 416,799.98 × 177,854.17
  4. Step 4: Simplify right side
    302,027.78x = 74,129,613,234.60
  5. Step 5: Solve for x
    x = 74,129,613,234.60/302,027.78
  6. Step 6: Final answer
    x = 245,439.72

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1.5x scale

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.