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Finding the Fourth Proportional to 428,971.28, 591,990 and 237,981.92

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Solution

The fourth proportional to 428,971.28, 591,990 and 237,981.92 is: 328,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,971.28 : 591,990 = 237,981.92 : x
  2. Step 2: Convert to fraction form
    428,971.28/591,990 = 237,981.92/x
  3. Step 3: Cross multiply
    428,971.28x = 591,990 × 237,981.92
  4. Step 4: Simplify right side
    428,971.28x = 140,882,916,820.80
  5. Step 5: Solve for x
    x = 140,882,916,820.80/428,971.28
  6. Step 6: Final answer
    x = 328,420.39

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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.