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Finding the Fourth Proportional to 400,497.96, 552,685.17 and 216,736.38

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Solution

The fourth proportional to 400,497.96, 552,685.17 and 216,736.38 is: 299,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,497.96 : 552,685.17 = 216,736.38 : x
  2. Step 2: Convert to fraction form
    400,497.96/552,685.17 = 216,736.38/x
  3. Step 3: Cross multiply
    400,497.96x = 552,685.17 × 216,736.38
  4. Step 4: Simplify right side
    400,497.96x = 119,786,983,025.49
  5. Step 5: Solve for x
    x = 119,786,983,025.49/400,497.96
  6. Step 6: Final answer
    x = 299,095.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.