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Finding the Fourth Proportional to 405,040.80, 606,686.40 and 217,833.60

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Solution

The fourth proportional to 405,040.80, 606,686.40 and 217,833.60 is: 326,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,040.80 : 606,686.40 = 217,833.60 : x
  2. Step 2: Convert to fraction form
    405,040.80/606,686.40 = 217,833.60/x
  3. Step 3: Cross multiply
    405,040.80x = 606,686.40 × 217,833.60
  4. Step 4: Simplify right side
    405,040.80x = 132,156,682,583.04
  5. Step 5: Solve for x
    x = 132,156,682,583.04/405,040.80
  6. Step 6: Final answer
    x = 326,279.93

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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.