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Finding the Fourth Proportional to 508,274.29, 762,250.83 and 171,236.40

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Solution

The fourth proportional to 508,274.29, 762,250.83 and 171,236.40 is: 256,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,274.29 : 762,250.83 = 171,236.40 : x
  2. Step 2: Convert to fraction form
    508,274.29/762,250.83 = 171,236.40/x
  3. Step 3: Cross multiply
    508,274.29x = 762,250.83 × 171,236.40
  4. Step 4: Simplify right side
    508,274.29x = 130,525,091,438.73
  5. Step 5: Solve for x
    x = 130,525,091,438.73/508,274.29
  6. Step 6: Final answer
    x = 256,800.50

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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.