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Finding the Fourth Proportional to 375,357.38, 517,993.25 and 205,597.58

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Solution

The fourth proportional to 375,357.38, 517,993.25 and 205,597.58 is: 283,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,357.38 : 517,993.25 = 205,597.58 : x
  2. Step 2: Convert to fraction form
    375,357.38/517,993.25 = 205,597.58/x
  3. Step 3: Cross multiply
    375,357.38x = 517,993.25 × 205,597.58
  4. Step 4: Simplify right side
    375,357.38x = 106,498,155,038.38
  5. Step 5: Solve for x
    x = 106,498,155,038.38/375,357.38
  6. Step 6: Final answer
    x = 283,724.69

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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.