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Finding the Fourth Proportional to 475,224.66, 655,828.11 and 271,308.78

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Solution

The fourth proportional to 475,224.66, 655,828.11 and 271,308.78 is: 374,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,224.66 : 655,828.11 = 271,308.78 : x
  2. Step 2: Convert to fraction form
    475,224.66/655,828.11 = 271,308.78/x
  3. Step 3: Cross multiply
    475,224.66x = 655,828.11 × 271,308.78
  4. Step 4: Simplify right side
    475,224.66x = 177,931,924,413.81
  5. Step 5: Solve for x
    x = 177,931,924,413.81/475,224.66
  6. Step 6: Final answer
    x = 374,416.44

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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.