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Finding the Fourth Proportional to 407,693.84, 562,634.48 and 226,407.26

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Solution

The fourth proportional to 407,693.84, 562,634.48 and 226,407.26 is: 312,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,693.84 : 562,634.48 = 226,407.26 : x
  2. Step 2: Convert to fraction form
    407,693.84/562,634.48 = 226,407.26/x
  3. Step 3: Cross multiply
    407,693.84x = 562,634.48 × 226,407.26
  4. Step 4: Simplify right side
    407,693.84x = 127,384,527,053.12
  5. Step 5: Solve for x
    x = 127,384,527,053.12/407,693.84
  6. Step 6: Final answer
    x = 312,451.44

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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.