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Finding the Fourth Proportional to 426,392.26, 588,405.87 and 232,796.40

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Solution

The fourth proportional to 426,392.26, 588,405.87 and 232,796.40 is: 321,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,392.26 : 588,405.87 = 232,796.40 : x
  2. Step 2: Convert to fraction form
    426,392.26/588,405.87 = 232,796.40/x
  3. Step 3: Cross multiply
    426,392.26x = 588,405.87 × 232,796.40
  4. Step 4: Simplify right side
    426,392.26x = 136,978,768,274.87
  5. Step 5: Solve for x
    x = 136,978,768,274.87/426,392.26
  6. Step 6: Final answer
    x = 321,250.60

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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.