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Finding the Fourth Proportional to 310,799.38, 428,898.68 and 172,977.38

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Solution

The fourth proportional to 310,799.38, 428,898.68 and 172,977.38 is: 238,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,799.38 : 428,898.68 = 172,977.38 : x
  2. Step 2: Convert to fraction form
    310,799.38/428,898.68 = 172,977.38/x
  3. Step 3: Cross multiply
    310,799.38x = 428,898.68 × 172,977.38
  4. Step 4: Simplify right side
    310,799.38x = 74,189,768,052.80
  5. Step 5: Solve for x
    x = 74,189,768,052.80/310,799.38
  6. Step 6: Final answer
    x = 238,706.29

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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.