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Finding the Fourth Proportional to 269,702.64, 404,428.80 and 157,415.31

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Solution

The fourth proportional to 269,702.64, 404,428.80 and 157,415.31 is: 236,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,702.64 : 404,428.80 = 157,415.31 : x
  2. Step 2: Convert to fraction form
    269,702.64/404,428.80 = 157,415.31/x
  3. Step 3: Cross multiply
    269,702.64x = 404,428.80 × 157,415.31
  4. Step 4: Simplify right side
    269,702.64x = 63,663,284,924.93
  5. Step 5: Solve for x
    x = 63,663,284,924.93/269,702.64
  6. Step 6: Final answer
    x = 236,049.91

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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.