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Finding the Fourth Proportional to 375,098.92, 517,648.74 and 205,333

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Solution

The fourth proportional to 375,098.92, 517,648.74 and 205,333 is: 283,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,098.92 : 517,648.74 = 205,333 : x
  2. Step 2: Convert to fraction form
    375,098.92/517,648.74 = 205,333/x
  3. Step 3: Cross multiply
    375,098.92x = 517,648.74 × 205,333
  4. Step 4: Simplify right side
    375,098.92x = 106,290,368,730.42
  5. Step 5: Solve for x
    x = 106,290,368,730.42/375,098.92
  6. Step 6: Final answer
    x = 283,366.24

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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.