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Finding the Fourth Proportional to 312,903.32, 431,803.84 and 176,964.04

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Solution

The fourth proportional to 312,903.32, 431,803.84 and 176,964.04 is: 244,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,903.32 : 431,803.84 = 176,964.04 : x
  2. Step 2: Convert to fraction form
    312,903.32/431,803.84 = 176,964.04/x
  3. Step 3: Cross multiply
    312,903.32x = 431,803.84 × 176,964.04
  4. Step 4: Simplify right side
    312,903.32x = 76,413,752,013.91
  5. Step 5: Solve for x
    x = 76,413,752,013.91/312,903.32
  6. Step 6: Final answer
    x = 244,208.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.