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Finding the Fourth Proportional to 508,497.60, 762,722.10 and 171,505.20

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Solution

The fourth proportional to 508,497.60, 762,722.10 and 171,505.20 is: 257,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,497.60 : 762,722.10 = 171,505.20 : x
  2. Step 2: Convert to fraction form
    508,497.60/762,722.10 = 171,505.20/x
  3. Step 3: Cross multiply
    508,497.60x = 762,722.10 × 171,505.20
  4. Step 4: Simplify right side
    508,497.60x = 130,810,806,304.92
  5. Step 5: Solve for x
    x = 130,810,806,304.92/508,497.60
  6. Step 6: Final answer
    x = 257,249.60

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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.