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Finding the Fourth Proportional to 346,205.25, 477,764.69 and 187,229.25

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Solution

The fourth proportional to 346,205.25, 477,764.69 and 187,229.25 is: 258,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,205.25 : 477,764.69 = 187,229.25 : x
  2. Step 2: Convert to fraction form
    346,205.25/477,764.69 = 187,229.25/x
  3. Step 3: Cross multiply
    346,205.25x = 477,764.69 × 187,229.25
  4. Step 4: Simplify right side
    346,205.25x = 89,451,523,649.04
  5. Step 5: Solve for x
    x = 89,451,523,649.04/346,205.25
  6. Step 6: Final answer
    x = 258,377.14

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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.