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Finding the Fourth Proportional to 295,602.36, 443,469.12 and 85,223.88

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Solution

The fourth proportional to 295,602.36, 443,469.12 and 85,223.88 is: 127,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,602.36 : 443,469.12 = 85,223.88 : x
  2. Step 2: Convert to fraction form
    295,602.36/443,469.12 = 85,223.88/x
  3. Step 3: Cross multiply
    295,602.36x = 443,469.12 × 85,223.88
  4. Step 4: Simplify right side
    295,602.36x = 37,794,159,066.59
  5. Step 5: Solve for x
    x = 37,794,159,066.59/295,602.36
  6. Step 6: Final answer
    x = 127,854.73

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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.