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Finding the Fourth Proportional to 375,177.44, 517,724.36 and 205,378.72

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Solution

The fourth proportional to 375,177.44, 517,724.36 and 205,378.72 is: 283,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,177.44 : 517,724.36 = 205,378.72 : x
  2. Step 2: Convert to fraction form
    375,177.44/517,724.36 = 205,378.72/x
  3. Step 3: Cross multiply
    375,177.44x = 517,724.36 × 205,378.72
  4. Step 4: Simplify right side
    375,177.44x = 106,329,566,369.62
  5. Step 5: Solve for x
    x = 106,329,566,369.62/375,177.44
  6. Step 6: Final answer
    x = 283,411.41

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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.