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Finding the Fourth Proportional to 323,309.76, 484,964.64 and 112,949.52

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Solution

The fourth proportional to 323,309.76, 484,964.64 and 112,949.52 is: 169,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,309.76 : 484,964.64 = 112,949.52 : x
  2. Step 2: Convert to fraction form
    323,309.76/484,964.64 = 112,949.52/x
  3. Step 3: Cross multiply
    323,309.76x = 484,964.64 × 112,949.52
  4. Step 4: Simplify right side
    323,309.76x = 54,776,523,304.97
  5. Step 5: Solve for x
    x = 54,776,523,304.97/323,309.76
  6. Step 6: Final answer
    x = 169,424.28

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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.