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Finding the Fourth Proportional to 475,225.66, 655,829.49 and 271,309.78

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Solution

The fourth proportional to 475,225.66, 655,829.49 and 271,309.78 is: 374,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,225.66 : 655,829.49 = 271,309.78 : x
  2. Step 2: Convert to fraction form
    475,225.66/655,829.49 = 271,309.78/x
  3. Step 3: Cross multiply
    475,225.66x = 655,829.49 × 271,309.78
  4. Step 4: Simplify right side
    475,225.66x = 177,932,954,649.41
  5. Step 5: Solve for x
    x = 177,932,954,649.41/475,225.66
  6. Step 6: Final answer
    x = 374,417.82

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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.