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Finding the Fourth Proportional to 571,082.14, 856,020.42 and 191,643.11

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Solution

The fourth proportional to 571,082.14, 856,020.42 and 191,643.11 is: 287,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,082.14 : 856,020.42 = 191,643.11 : x
  2. Step 2: Convert to fraction form
    571,082.14/856,020.42 = 191,643.11/x
  3. Step 3: Cross multiply
    571,082.14x = 856,020.42 × 191,643.11
  4. Step 4: Simplify right side
    571,082.14x = 164,050,414,442.28
  5. Step 5: Solve for x
    x = 164,050,414,442.28/571,082.14
  6. Step 6: Final answer
    x = 287,262.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.