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Finding the Fourth Proportional to 375,041.80, 517,556.82 and 205,274.44

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Solution

The fourth proportional to 375,041.80, 517,556.82 and 205,274.44 is: 283,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,041.80 : 517,556.82 = 205,274.44 : x
  2. Step 2: Convert to fraction form
    375,041.80/517,556.82 = 205,274.44/x
  3. Step 3: Cross multiply
    375,041.80x = 517,556.82 × 205,274.44
  4. Step 4: Simplify right side
    375,041.80x = 106,241,186,393.68
  5. Step 5: Solve for x
    x = 106,241,186,393.68/375,041.80
  6. Step 6: Final answer
    x = 283,278.25

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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.