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Finding the Fourth Proportional to 322,714.31, 445,332 and 177,510.87

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Solution

The fourth proportional to 322,714.31, 445,332 and 177,510.87 is: 244,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,714.31 : 445,332 = 177,510.87 : x
  2. Step 2: Convert to fraction form
    322,714.31/445,332 = 177,510.87/x
  3. Step 3: Cross multiply
    322,714.31x = 445,332 × 177,510.87
  4. Step 4: Simplify right side
    322,714.31x = 79,051,270,758.84
  5. Step 5: Solve for x
    x = 79,051,270,758.84/322,714.31
  6. Step 6: Final answer
    x = 244,957.44

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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.