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Finding the Fourth Proportional to 345,440.88, 476,742.96 and 202,192.56

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Solution

The fourth proportional to 345,440.88, 476,742.96 and 202,192.56 is: 279,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,440.88 : 476,742.96 = 202,192.56 : x
  2. Step 2: Convert to fraction form
    345,440.88/476,742.96 = 202,192.56/x
  3. Step 3: Cross multiply
    345,440.88x = 476,742.96 × 202,192.56
  4. Step 4: Simplify right side
    345,440.88x = 96,393,879,544.38
  5. Step 5: Solve for x
    x = 96,393,879,544.38/345,440.88
  6. Step 6: Final answer
    x = 279,045.95

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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.