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Finding the Fourth Proportional to 318,531.72, 477,272.43 and 185,037.24

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Solution

The fourth proportional to 318,531.72, 477,272.43 and 185,037.24 is: 277,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,531.72 : 477,272.43 = 185,037.24 : x
  2. Step 2: Convert to fraction form
    318,531.72/477,272.43 = 185,037.24/x
  3. Step 3: Cross multiply
    318,531.72x = 477,272.43 × 185,037.24
  4. Step 4: Simplify right side
    318,531.72x = 88,313,173,175.29
  5. Step 5: Solve for x
    x = 88,313,173,175.29/318,531.72
  6. Step 6: Final answer
    x = 277,250.80

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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.