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Finding the Fourth Proportional to 366,912.92, 506,304.74 and 205,731

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Solution

The fourth proportional to 366,912.92, 506,304.74 and 205,731 is: 283,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,912.92 : 506,304.74 = 205,731 : x
  2. Step 2: Convert to fraction form
    366,912.92/506,304.74 = 205,731/x
  3. Step 3: Cross multiply
    366,912.92x = 506,304.74 × 205,731
  4. Step 4: Simplify right side
    366,912.92x = 104,162,580,464.94
  5. Step 5: Solve for x
    x = 104,162,580,464.94/366,912.92
  6. Step 6: Final answer
    x = 283,889.10

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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.