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Finding the Fourth Proportional to 375,332.28, 517,967.10 and 205,564.92

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Solution

The fourth proportional to 375,332.28, 517,967.10 and 205,564.92 is: 283,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,332.28 : 517,967.10 = 205,564.92 : x
  2. Step 2: Convert to fraction form
    375,332.28/517,967.10 = 205,564.92/x
  3. Step 3: Cross multiply
    375,332.28x = 517,967.10 × 205,564.92
  4. Step 4: Simplify right side
    375,332.28x = 106,475,865,474.13
  5. Step 5: Solve for x
    x = 106,475,865,474.13/375,332.28
  6. Step 6: Final answer
    x = 283,684.27

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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.