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Finding the Fourth Proportional to 527,208.65, 790,649.43 and 190,205.49

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Solution

The fourth proportional to 527,208.65, 790,649.43 and 190,205.49 is: 285,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,208.65 : 790,649.43 = 190,205.49 : x
  2. Step 2: Convert to fraction form
    527,208.65/790,649.43 = 190,205.49/x
  3. Step 3: Cross multiply
    527,208.65x = 790,649.43 × 190,205.49
  4. Step 4: Simplify right side
    527,208.65x = 150,385,862,251.37
  5. Step 5: Solve for x
    x = 150,385,862,251.37/527,208.65
  6. Step 6: Final answer
    x = 285,249.23

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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.