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Finding the Fourth Proportional to 286,769.80, 429,765.90 and 191,729.80

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Solution

The fourth proportional to 286,769.80, 429,765.90 and 191,729.80 is: 287,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,769.80 : 429,765.90 = 191,729.80 : x
  2. Step 2: Convert to fraction form
    286,769.80/429,765.90 = 191,729.80/x
  3. Step 3: Cross multiply
    286,769.80x = 429,765.90 × 191,729.80
  4. Step 4: Simplify right side
    286,769.80x = 82,398,930,053.82
  5. Step 5: Solve for x
    x = 82,398,930,053.82/286,769.80
  6. Step 6: Final answer
    x = 287,334.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.