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Finding the Fourth Proportional to 426,758.76, 588,928.32 and 233,168.76

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Solution

The fourth proportional to 426,758.76, 588,928.32 and 233,168.76 is: 321,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,758.76 : 588,928.32 = 233,168.76 : x
  2. Step 2: Convert to fraction form
    426,758.76/588,928.32 = 233,168.76/x
  3. Step 3: Cross multiply
    426,758.76x = 588,928.32 × 233,168.76
  4. Step 4: Simplify right side
    426,758.76x = 137,319,686,103.28
  5. Step 5: Solve for x
    x = 137,319,686,103.28/426,758.76
  6. Step 6: Final answer
    x = 321,773.56

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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.