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Finding the Fourth Proportional to 311,514.38, 467,264.85 and 86,868.82

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Solution

The fourth proportional to 311,514.38, 467,264.85 and 86,868.82 is: 130,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.38 : 467,264.85 = 86,868.82 : x
  2. Step 2: Convert to fraction form
    311,514.38/467,264.85 = 86,868.82/x
  3. Step 3: Cross multiply
    311,514.38x = 467,264.85 × 86,868.82
  4. Step 4: Simplify right side
    311,514.38x = 40,590,746,146.98
  5. Step 5: Solve for x
    x = 40,590,746,146.98/311,514.38
  6. Step 6: Final answer
    x = 130,301.36

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1.5x scale

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.