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Finding the Fourth Proportional to 287,904.38, 397,290.02 and 158,844.38

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Solution

The fourth proportional to 287,904.38, 397,290.02 and 158,844.38 is: 219,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,904.38 : 397,290.02 = 158,844.38 : x
  2. Step 2: Convert to fraction form
    287,904.38/397,290.02 = 158,844.38/x
  3. Step 3: Cross multiply
    287,904.38x = 397,290.02 × 158,844.38
  4. Step 4: Simplify right side
    287,904.38x = 63,107,284,126.42
  5. Step 5: Solve for x
    x = 63,107,284,126.42/287,904.38
  6. Step 6: Final answer
    x = 219,195.29

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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.