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Finding the Fourth Proportional to 375,097.92, 517,647.36 and 205,332

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Solution

The fourth proportional to 375,097.92, 517,647.36 and 205,332 is: 283,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,097.92 : 517,647.36 = 205,332 : x
  2. Step 2: Convert to fraction form
    375,097.92/517,647.36 = 205,332/x
  3. Step 3: Cross multiply
    375,097.92x = 517,647.36 × 205,332
  4. Step 4: Simplify right side
    375,097.92x = 106,289,567,723.52
  5. Step 5: Solve for x
    x = 106,289,567,723.52/375,097.92
  6. Step 6: Final answer
    x = 283,364.86

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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.