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Finding the Fourth Proportional to 405,351.66, 559,440.84 and 233,266.08

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Solution

The fourth proportional to 405,351.66, 559,440.84 and 233,266.08 is: 321,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,351.66 : 559,440.84 = 233,266.08 : x
  2. Step 2: Convert to fraction form
    405,351.66/559,440.84 = 233,266.08/x
  3. Step 3: Cross multiply
    405,351.66x = 559,440.84 × 233,266.08
  4. Step 4: Simplify right side
    405,351.66x = 130,498,571,738.71
  5. Step 5: Solve for x
    x = 130,498,571,738.71/405,351.66
  6. Step 6: Final answer
    x = 321,939.16

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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.