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Finding the Fourth Proportional to 375,306.72, 517,927.68 and 205,548

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Solution

The fourth proportional to 375,306.72, 517,927.68 and 205,548 is: 283,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,306.72 : 517,927.68 = 205,548 : x
  2. Step 2: Convert to fraction form
    375,306.72/517,927.68 = 205,548/x
  3. Step 3: Cross multiply
    375,306.72x = 517,927.68 × 205,548
  4. Step 4: Simplify right side
    375,306.72x = 106,458,998,768.64
  5. Step 5: Solve for x
    x = 106,458,998,768.64/375,306.72
  6. Step 6: Final answer
    x = 283,658.65

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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.