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Finding the Fourth Proportional to 286,839.30, 395,799.84 and 159,490.38

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Solution

The fourth proportional to 286,839.30, 395,799.84 and 159,490.38 is: 220,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,839.30 : 395,799.84 = 159,490.38 : x
  2. Step 2: Convert to fraction form
    286,839.30/395,799.84 = 159,490.38/x
  3. Step 3: Cross multiply
    286,839.30x = 395,799.84 × 159,490.38
  4. Step 4: Simplify right side
    286,839.30x = 63,126,266,885.54
  5. Step 5: Solve for x
    x = 63,126,266,885.54/286,839.30
  6. Step 6: Final answer
    x = 220,075.38

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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.