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Finding the Fourth Proportional to 399,534.64, 551,469 and 229,823.44

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Solution

The fourth proportional to 399,534.64, 551,469 and 229,823.44 is: 317,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,534.64 : 551,469 = 229,823.44 : x
  2. Step 2: Convert to fraction form
    399,534.64/551,469 = 229,823.44/x
  3. Step 3: Cross multiply
    399,534.64x = 551,469 × 229,823.44
  4. Step 4: Simplify right side
    399,534.64x = 126,740,502,633.36
  5. Step 5: Solve for x
    x = 126,740,502,633.36/399,534.64
  6. Step 6: Final answer
    x = 317,220.31

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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.