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Finding the Fourth Proportional to 311,514.40, 467,098.80 and 124,314.40

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Solution

The fourth proportional to 311,514.40, 467,098.80 and 124,314.40 is: 186,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.40 : 467,098.80 = 124,314.40 : x
  2. Step 2: Convert to fraction form
    311,514.40/467,098.80 = 124,314.40/x
  3. Step 3: Cross multiply
    311,514.40x = 467,098.80 × 124,314.40
  4. Step 4: Simplify right side
    311,514.40x = 58,067,107,062.72
  5. Step 5: Solve for x
    x = 58,067,107,062.72/311,514.40
  6. Step 6: Final answer
    x = 186,402.64

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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.