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Finding the Fourth Proportional to 363,701.98, 501,924.29 and 202,557

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Solution

The fourth proportional to 363,701.98, 501,924.29 and 202,557 is: 279,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,701.98 : 501,924.29 = 202,557 : x
  2. Step 2: Convert to fraction form
    363,701.98/501,924.29 = 202,557/x
  3. Step 3: Cross multiply
    363,701.98x = 501,924.29 × 202,557
  4. Step 4: Simplify right side
    363,701.98x = 101,668,277,396.75
  5. Step 5: Solve for x
    x = 101,668,277,396.75/363,701.98
  6. Step 6: Final answer
    x = 279,537.32

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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.