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Finding the Fourth Proportional to 317,264.30, 474,961.46 and 277,898.30

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Solution

The fourth proportional to 317,264.30, 474,961.46 and 277,898.30 is: 416,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,264.30 : 474,961.46 = 277,898.30 : x
  2. Step 2: Convert to fraction form
    317,264.30/474,961.46 = 277,898.30/x
  3. Step 3: Cross multiply
    317,264.30x = 474,961.46 × 277,898.30
  4. Step 4: Simplify right side
    317,264.30x = 131,990,982,299.52
  5. Step 5: Solve for x
    x = 131,990,982,299.52/317,264.30
  6. Step 6: Final answer
    x = 416,028.47

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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.