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Finding the Fourth Proportional to 311,417.06, 429,755.54 and 168,177.09

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Solution

The fourth proportional to 311,417.06, 429,755.54 and 168,177.09 is: 232,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,417.06 : 429,755.54 = 168,177.09 : x
  2. Step 2: Convert to fraction form
    311,417.06/429,755.54 = 168,177.09/x
  3. Step 3: Cross multiply
    311,417.06x = 429,755.54 × 168,177.09
  4. Step 4: Simplify right side
    311,417.06x = 72,275,035,287.69
  5. Step 5: Solve for x
    x = 72,275,035,287.69/311,417.06
  6. Step 6: Final answer
    x = 232,084.38

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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.