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Finding the Fourth Proportional to 405,046.80, 606,695.40 and 217,839.60

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Solution

The fourth proportional to 405,046.80, 606,695.40 and 217,839.60 is: 326,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,046.80 : 606,695.40 = 217,839.60 : x
  2. Step 2: Convert to fraction form
    405,046.80/606,695.40 = 217,839.60/x
  3. Step 3: Cross multiply
    405,046.80x = 606,695.40 × 217,839.60
  4. Step 4: Simplify right side
    405,046.80x = 132,162,283,257.84
  5. Step 5: Solve for x
    x = 132,162,283,257.84/405,046.80
  6. Step 6: Final answer
    x = 326,288.92

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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.