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Finding the Fourth Proportional to 364,272.52, 502,702.52 and 200,947.72

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Solution

The fourth proportional to 364,272.52, 502,702.52 and 200,947.72 is: 277,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,272.52 : 502,702.52 = 200,947.72 : x
  2. Step 2: Convert to fraction form
    364,272.52/502,702.52 = 200,947.72/x
  3. Step 3: Cross multiply
    364,272.52x = 502,702.52 × 200,947.72
  4. Step 4: Simplify right side
    364,272.52x = 101,016,925,232.25
  5. Step 5: Solve for x
    x = 101,016,925,232.25/364,272.52
  6. Step 6: Final answer
    x = 277,311.41

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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.