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Finding the Fourth Proportional to 310,536.27, 465,778.43 and 85,899.47

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Solution

The fourth proportional to 310,536.27, 465,778.43 and 85,899.47 is: 128,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,536.27 : 465,778.43 = 85,899.47 : x
  2. Step 2: Convert to fraction form
    310,536.27/465,778.43 = 85,899.47/x
  3. Step 3: Cross multiply
    310,536.27x = 465,778.43 × 85,899.47
  4. Step 4: Simplify right side
    310,536.27x = 40,010,120,274.43
  5. Step 5: Solve for x
    x = 40,010,120,274.43/310,536.27
  6. Step 6: Final answer
    x = 128,842.02

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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.