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Finding the Fourth Proportional to 316,191.78, 474,474.54 and 116,652.33

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Solution

The fourth proportional to 316,191.78, 474,474.54 and 116,652.33 is: 175,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,191.78 : 474,474.54 = 116,652.33 : x
  2. Step 2: Convert to fraction form
    316,191.78/474,474.54 = 116,652.33/x
  3. Step 3: Cross multiply
    316,191.78x = 474,474.54 × 116,652.33
  4. Step 4: Simplify right side
    316,191.78x = 55,348,560,616.68
  5. Step 5: Solve for x
    x = 55,348,560,616.68/316,191.78
  6. Step 6: Final answer
    x = 175,047.44

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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.