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Finding the Fourth Proportional to 316,494.32, 474,618.44 and 114,036.44

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Solution

The fourth proportional to 316,494.32, 474,618.44 and 114,036.44 is: 171,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,494.32 : 474,618.44 = 114,036.44 : x
  2. Step 2: Convert to fraction form
    316,494.32/474,618.44 = 114,036.44/x
  3. Step 3: Cross multiply
    316,494.32x = 474,618.44 × 114,036.44
  4. Step 4: Simplify right side
    316,494.32x = 54,123,797,255.95
  5. Step 5: Solve for x
    x = 54,123,797,255.95/316,494.32
  6. Step 6: Final answer
    x = 171,010.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.