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Finding the Fourth Proportional to 413,794.17, 618,175.80 and 262,825.56

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Solution

The fourth proportional to 413,794.17, 618,175.80 and 262,825.56 is: 392,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,794.17 : 618,175.80 = 262,825.56 : x
  2. Step 2: Convert to fraction form
    413,794.17/618,175.80 = 262,825.56/x
  3. Step 3: Cross multiply
    413,794.17x = 618,175.80 × 262,825.56
  4. Step 4: Simplify right side
    413,794.17x = 162,472,400,813.45
  5. Step 5: Solve for x
    x = 162,472,400,813.45/413,794.17
  6. Step 6: Final answer
    x = 392,640.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.