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Finding the Fourth Proportional to 375,153.96, 517,702.14 and 205,384.44

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Solution

The fourth proportional to 375,153.96, 517,702.14 and 205,384.44 is: 283,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,153.96 : 517,702.14 = 205,384.44 : x
  2. Step 2: Convert to fraction form
    375,153.96/517,702.14 = 205,384.44/x
  3. Step 3: Cross multiply
    375,153.96x = 517,702.14 × 205,384.44
  4. Step 4: Simplify right side
    375,153.96x = 106,327,964,110.70
  5. Step 5: Solve for x
    x = 106,327,964,110.70/375,153.96
  6. Step 6: Final answer
    x = 283,424.87

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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.