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Finding the Fourth Proportional to 407,839.52, 562,799.52 and 226,563.20

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Solution

The fourth proportional to 407,839.52, 562,799.52 and 226,563.20 is: 312,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,839.52 : 562,799.52 = 226,563.20 : x
  2. Step 2: Convert to fraction form
    407,839.52/562,799.52 = 226,563.20/x
  3. Step 3: Cross multiply
    407,839.52x = 562,799.52 × 226,563.20
  4. Step 4: Simplify right side
    407,839.52x = 127,509,660,209.66
  5. Step 5: Solve for x
    x = 127,509,660,209.66/407,839.52
  6. Step 6: Final answer
    x = 312,646.65

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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.