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Finding the Fourth Proportional to 407,414.82, 562,221.63 and 226,122.06

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Solution

The fourth proportional to 407,414.82, 562,221.63 and 226,122.06 is: 312,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,414.82 : 562,221.63 = 226,122.06 : x
  2. Step 2: Convert to fraction form
    407,414.82/562,221.63 = 226,122.06/x
  3. Step 3: Cross multiply
    407,414.82x = 562,221.63 × 226,122.06
  4. Step 4: Simplify right side
    407,414.82x = 127,130,713,152.16
  5. Step 5: Solve for x
    x = 127,130,713,152.16/407,414.82
  6. Step 6: Final answer
    x = 312,042.44

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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.