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Finding the Fourth Proportional to 410,362.11, 614,409.57 and 210,251.61

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Solution

The fourth proportional to 410,362.11, 614,409.57 and 210,251.61 is: 314,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,362.11 : 614,409.57 = 210,251.61 : x
  2. Step 2: Convert to fraction form
    410,362.11/614,409.57 = 210,251.61/x
  3. Step 3: Cross multiply
    410,362.11x = 614,409.57 × 210,251.61
  4. Step 4: Simplify right side
    410,362.11x = 129,180,601,291.91
  5. Step 5: Solve for x
    x = 129,180,601,291.91/410,362.11
  6. Step 6: Final answer
    x = 314,796.61

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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.