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Finding the Fourth Proportional to 345,363.06, 476,635.14 and 202,114.56

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Solution

The fourth proportional to 345,363.06, 476,635.14 and 202,114.56 is: 278,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,363.06 : 476,635.14 = 202,114.56 : x
  2. Step 2: Convert to fraction form
    345,363.06/476,635.14 = 202,114.56/x
  3. Step 3: Cross multiply
    345,363.06x = 476,635.14 × 202,114.56
  4. Step 4: Simplify right side
    345,363.06x = 96,334,901,601.64
  5. Step 5: Solve for x
    x = 96,334,901,601.64/345,363.06
  6. Step 6: Final answer
    x = 278,938.06

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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.