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Finding the Fourth Proportional to 405,232.80, 606,974.40 and 263,515.20

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Solution

The fourth proportional to 405,232.80, 606,974.40 and 263,515.20 is: 394,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,232.80 : 606,974.40 = 263,515.20 : x
  2. Step 2: Convert to fraction form
    405,232.80/606,974.40 = 263,515.20/x
  3. Step 3: Cross multiply
    405,232.80x = 606,974.40 × 263,515.20
  4. Step 4: Simplify right side
    405,232.80x = 159,946,980,410.88
  5. Step 5: Solve for x
    x = 159,946,980,410.88/405,232.80
  6. Step 6: Final answer
    x = 394,703.93

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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.