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Finding the Fourth Proportional to 407,669.78, 562,598.38 and 226,384.75

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Solution

The fourth proportional to 407,669.78, 562,598.38 and 226,384.75 is: 312,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,669.78 : 562,598.38 = 226,384.75 : x
  2. Step 2: Convert to fraction form
    407,669.78/562,598.38 = 226,384.75/x
  3. Step 3: Cross multiply
    407,669.78x = 562,598.38 × 226,384.75
  4. Step 4: Simplify right side
    407,669.78x = 127,363,691,634.25
  5. Step 5: Solve for x
    x = 127,363,691,634.25/407,669.78
  6. Step 6: Final answer
    x = 312,418.77

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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.