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Finding the Fourth Proportional to 375,175.44, 517,721.60 and 205,376.72

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Solution

The fourth proportional to 375,175.44, 517,721.60 and 205,376.72 is: 283,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,175.44 : 517,721.60 = 205,376.72 : x
  2. Step 2: Convert to fraction form
    375,175.44/517,721.60 = 205,376.72/x
  3. Step 3: Cross multiply
    375,175.44x = 517,721.60 × 205,376.72
  4. Step 4: Simplify right side
    375,175.44x = 106,327,964,081.15
  5. Step 5: Solve for x
    x = 106,327,964,081.15/375,175.44
  6. Step 6: Final answer
    x = 283,408.65

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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.