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Finding the Fourth Proportional to 375,340.36, 517,962.18 and 205,573

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Solution

The fourth proportional to 375,340.36, 517,962.18 and 205,573 is: 283,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,340.36 : 517,962.18 = 205,573 : x
  2. Step 2: Convert to fraction form
    375,340.36/517,962.18 = 205,573/x
  3. Step 3: Cross multiply
    375,340.36x = 517,962.18 × 205,573
  4. Step 4: Simplify right side
    375,340.36x = 106,479,039,229.14
  5. Step 5: Solve for x
    x = 106,479,039,229.14/375,340.36
  6. Step 6: Final answer
    x = 283,686.62

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