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Finding the Fourth Proportional to 532,984.86, 798,937.97 and 229,576.82

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Solution

The fourth proportional to 532,984.86, 798,937.97 and 229,576.82 is: 344,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,984.86 : 798,937.97 = 229,576.82 : x
  2. Step 2: Convert to fraction form
    532,984.86/798,937.97 = 229,576.82/x
  3. Step 3: Cross multiply
    532,984.86x = 798,937.97 × 229,576.82
  4. Step 4: Simplify right side
    532,984.86x = 183,417,633,387.28
  5. Step 5: Solve for x
    x = 183,417,633,387.28/532,984.86
  6. Step 6: Final answer
    x = 344,132.91

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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.