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Finding the Fourth Proportional to 363,702.98, 501,925.67 and 202,558

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Solution

The fourth proportional to 363,702.98, 501,925.67 and 202,558 is: 279,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,702.98 : 501,925.67 = 202,558 : x
  2. Step 2: Convert to fraction form
    363,702.98/501,925.67 = 202,558/x
  3. Step 3: Cross multiply
    363,702.98x = 501,925.67 × 202,558
  4. Step 4: Simplify right side
    363,702.98x = 101,669,059,863.86
  5. Step 5: Solve for x
    x = 101,669,059,863.86/363,702.98
  6. Step 6: Final answer
    x = 279,538.70

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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.