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Finding the Fourth Proportional to 405,287.01, 559,259.46 and 233,159.13

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Solution

The fourth proportional to 405,287.01, 559,259.46 and 233,159.13 is: 321,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,287.01 : 559,259.46 = 233,159.13 : x
  2. Step 2: Convert to fraction form
    405,287.01/559,259.46 = 233,159.13/x
  3. Step 3: Cross multiply
    405,287.01x = 559,259.46 × 233,159.13
  4. Step 4: Simplify right side
    405,287.01x = 130,396,449,137.87
  5. Step 5: Solve for x
    x = 130,396,449,137.87/405,287.01
  6. Step 6: Final answer
    x = 321,738.54

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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.