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Finding the Fourth Proportional to 355,145.56, 490,082.13 and 193,998.28

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Solution

The fourth proportional to 355,145.56, 490,082.13 and 193,998.28 is: 267,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,145.56 : 490,082.13 = 193,998.28 : x
  2. Step 2: Convert to fraction form
    355,145.56/490,082.13 = 193,998.28/x
  3. Step 3: Cross multiply
    355,145.56x = 490,082.13 × 193,998.28
  4. Step 4: Simplify right side
    355,145.56x = 95,075,090,278.74
  5. Step 5: Solve for x
    x = 95,075,090,278.74/355,145.56
  6. Step 6: Final answer
    x = 267,707.39

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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.