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Finding the Fourth Proportional to 426,763.23, 588,926.38 and 233,166.78

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Solution

The fourth proportional to 426,763.23, 588,926.38 and 233,166.78 is: 321,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,763.23 : 588,926.38 = 233,166.78 : x
  2. Step 2: Convert to fraction form
    426,763.23/588,926.38 = 233,166.78/x
  3. Step 3: Cross multiply
    426,763.23x = 588,926.38 × 233,166.78
  4. Step 4: Simplify right side
    426,763.23x = 137,318,067,681.66
  5. Step 5: Solve for x
    x = 137,318,067,681.66/426,763.23
  6. Step 6: Final answer
    x = 321,766.40

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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.