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Finding the Fourth Proportional to 399,389.20, 551,111.76 and 229,678

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Solution

The fourth proportional to 399,389.20, 551,111.76 and 229,678 is: 316,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,389.20 : 551,111.76 = 229,678 : x
  2. Step 2: Convert to fraction form
    399,389.20/551,111.76 = 229,678/x
  3. Step 3: Cross multiply
    399,389.20x = 551,111.76 × 229,678
  4. Step 4: Simplify right side
    399,389.20x = 126,578,246,813.28
  5. Step 5: Solve for x
    x = 126,578,246,813.28/399,389.20
  6. Step 6: Final answer
    x = 316,929.57

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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.