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Finding the Fourth Proportional to 405,351.54, 559,440.68 and 233,265.96

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Solution

The fourth proportional to 405,351.54, 559,440.68 and 233,265.96 is: 321,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,351.54 : 559,440.68 = 233,265.96 : x
  2. Step 2: Convert to fraction form
    405,351.54/559,440.68 = 233,265.96/x
  3. Step 3: Cross multiply
    405,351.54x = 559,440.68 × 233,265.96
  4. Step 4: Simplify right side
    405,351.54x = 130,498,466,116.92
  5. Step 5: Solve for x
    x = 130,498,466,116.92/405,351.54
  6. Step 6: Final answer
    x = 321,938.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.