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Finding the Fourth Proportional to 407,394.78, 562,196.34 and 226,096.17

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Solution

The fourth proportional to 407,394.78, 562,196.34 and 226,096.17 is: 312,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,394.78 : 562,196.34 = 226,096.17 : x
  2. Step 2: Convert to fraction form
    407,394.78/562,196.34 = 226,096.17/x
  3. Step 3: Cross multiply
    407,394.78x = 562,196.34 × 226,096.17
  4. Step 4: Simplify right side
    407,394.78x = 127,110,439,262.02
  5. Step 5: Solve for x
    x = 127,110,439,262.02/407,394.78
  6. Step 6: Final answer
    x = 312,008.02

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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.