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Finding the Fourth Proportional to 414,311.96, 571,794.36 and 253,261.28

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Solution

The fourth proportional to 414,311.96, 571,794.36 and 253,261.28 is: 349,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,311.96 : 571,794.36 = 253,261.28 : x
  2. Step 2: Convert to fraction form
    414,311.96/571,794.36 = 253,261.28/x
  3. Step 3: Cross multiply
    414,311.96x = 571,794.36 × 253,261.28
  4. Step 4: Simplify right side
    414,311.96x = 144,813,371,510.38
  5. Step 5: Solve for x
    x = 144,813,371,510.38/414,311.96
  6. Step 6: Final answer
    x = 349,527.37

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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.