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Finding the Fourth Proportional to 375,602.44, 518,344.65 and 205,836.58

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Solution

The fourth proportional to 375,602.44, 518,344.65 and 205,836.58 is: 284,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,602.44 : 518,344.65 = 205,836.58 : x
  2. Step 2: Convert to fraction form
    375,602.44/518,344.65 = 205,836.58/x
  3. Step 3: Cross multiply
    375,602.44x = 518,344.65 × 205,836.58
  4. Step 4: Simplify right side
    375,602.44x = 106,694,290,017.30
  5. Step 5: Solve for x
    x = 106,694,290,017.30/375,602.44
  6. Step 6: Final answer
    x = 284,061.76

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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.