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Finding the Fourth Proportional to 399,447.84, 551,283.12 and 227,408.16

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Solution

The fourth proportional to 399,447.84, 551,283.12 and 227,408.16 is: 313,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,447.84 : 551,283.12 = 227,408.16 : x
  2. Step 2: Convert to fraction form
    399,447.84/551,283.12 = 227,408.16/x
  3. Step 3: Cross multiply
    399,447.84x = 551,283.12 × 227,408.16
  4. Step 4: Simplify right side
    399,447.84x = 125,366,279,958.26
  5. Step 5: Solve for x
    x = 125,366,279,958.26/399,447.84
  6. Step 6: Final answer
    x = 313,848.94

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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.