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Finding the Fourth Proportional to 323,348.52, 485,077.14 and 145,851.24

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Solution

The fourth proportional to 323,348.52, 485,077.14 and 145,851.24 is: 218,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,348.52 : 485,077.14 = 145,851.24 : x
  2. Step 2: Convert to fraction form
    323,348.52/485,077.14 = 145,851.24/x
  3. Step 3: Cross multiply
    323,348.52x = 485,077.14 × 145,851.24
  4. Step 4: Simplify right side
    323,348.52x = 70,749,102,364.65
  5. Step 5: Solve for x
    x = 70,749,102,364.65/323,348.52
  6. Step 6: Final answer
    x = 218,801.38

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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.