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Finding the Fourth Proportional to 408,715.31, 613,065.81 and 183,916.64

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Solution

The fourth proportional to 408,715.31, 613,065.81 and 183,916.64 is: 275,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,715.31 : 613,065.81 = 183,916.64 : x
  2. Step 2: Convert to fraction form
    408,715.31/613,065.81 = 183,916.64/x
  3. Step 3: Cross multiply
    408,715.31x = 613,065.81 × 183,916.64
  4. Step 4: Simplify right side
    408,715.31x = 112,753,003,874.08
  5. Step 5: Solve for x
    x = 112,753,003,874.08/408,715.31
  6. Step 6: Final answer
    x = 275,871.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.