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Finding the Fourth Proportional to 405,238.80, 606,983.40 and 263,521.20

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Solution

The fourth proportional to 405,238.80, 606,983.40 and 263,521.20 is: 394,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,238.80 : 606,983.40 = 263,521.20 : x
  2. Step 2: Convert to fraction form
    405,238.80/606,983.40 = 263,521.20/x
  3. Step 3: Cross multiply
    405,238.80x = 606,983.40 × 263,521.20
  4. Step 4: Simplify right side
    405,238.80x = 159,952,993,948.08
  5. Step 5: Solve for x
    x = 159,952,993,948.08/405,238.80
  6. Step 6: Final answer
    x = 394,712.93

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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.