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Finding the Fourth Proportional to 338,884.24, 508,178.70 and 114,202.78

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Solution

The fourth proportional to 338,884.24, 508,178.70 and 114,202.78 is: 171,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884.24 : 508,178.70 = 114,202.78 : x
  2. Step 2: Convert to fraction form
    338,884.24/508,178.70 = 114,202.78/x
  3. Step 3: Cross multiply
    338,884.24x = 508,178.70 × 114,202.78
  4. Step 4: Simplify right side
    338,884.24x = 58,035,420,276.79
  5. Step 5: Solve for x
    x = 58,035,420,276.79/338,884.24
  6. Step 6: Final answer
    x = 171,254.41

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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.