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Finding the Fourth Proportional to 407,839.88, 562,909 and 226,614.08

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Solution

The fourth proportional to 407,839.88, 562,909 and 226,614.08 is: 312,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,839.88 : 562,909 = 226,614.08 : x
  2. Step 2: Convert to fraction form
    407,839.88/562,909 = 226,614.08/x
  3. Step 3: Cross multiply
    407,839.88x = 562,909 × 226,614.08
  4. Step 4: Simplify right side
    407,839.88x = 127,563,105,158.72
  5. Step 5: Solve for x
    x = 127,563,105,158.72/407,839.88
  6. Step 6: Final answer
    x = 312,777.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.