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Finding the Fourth Proportional to 375,157.68, 517,717.56 and 205,392.24

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Solution

The fourth proportional to 375,157.68, 517,717.56 and 205,392.24 is: 283,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,157.68 : 517,717.56 = 205,392.24 : x
  2. Step 2: Convert to fraction form
    375,157.68/517,717.56 = 205,392.24/x
  3. Step 3: Cross multiply
    375,157.68x = 517,717.56 × 205,392.24
  4. Step 4: Simplify right side
    375,157.68x = 106,335,169,335.73
  5. Step 5: Solve for x
    x = 106,335,169,335.73/375,157.68
  6. Step 6: Final answer
    x = 283,441.27

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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.