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Finding the Fourth Proportional to 321,761.65, 444,037.86 and 176,566.16

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Solution

The fourth proportional to 321,761.65, 444,037.86 and 176,566.16 is: 243,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,761.65 : 444,037.86 = 176,566.16 : x
  2. Step 2: Convert to fraction form
    321,761.65/444,037.86 = 176,566.16/x
  3. Step 3: Cross multiply
    321,761.65x = 444,037.86 × 176,566.16
  4. Step 4: Simplify right side
    321,761.65x = 78,402,061,661.53
  5. Step 5: Solve for x
    x = 78,402,061,661.53/321,761.65
  6. Step 6: Final answer
    x = 243,665.03

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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.