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Finding the Fourth Proportional to 391,514.50, 587,271.75 and 96,026.50

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Solution

The fourth proportional to 391,514.50, 587,271.75 and 96,026.50 is: 144,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,514.50 : 587,271.75 = 96,026.50 : x
  2. Step 2: Convert to fraction form
    391,514.50/587,271.75 = 96,026.50/x
  3. Step 3: Cross multiply
    391,514.50x = 587,271.75 × 96,026.50
  4. Step 4: Simplify right side
    391,514.50x = 56,393,650,701.38
  5. Step 5: Solve for x
    x = 56,393,650,701.38/391,514.50
  6. Step 6: Final answer
    x = 144,039.75

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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.