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Finding the Fourth Proportional to 417,908.77, 576,716.46 and 226,922.21

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Solution

The fourth proportional to 417,908.77, 576,716.46 and 226,922.21 is: 313,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,908.77 : 576,716.46 = 226,922.21 : x
  2. Step 2: Convert to fraction form
    417,908.77/576,716.46 = 226,922.21/x
  3. Step 3: Cross multiply
    417,908.77x = 576,716.46 × 226,922.21
  4. Step 4: Simplify right side
    417,908.77x = 130,869,772,074.72
  5. Step 5: Solve for x
    x = 130,869,772,074.72/417,908.77
  6. Step 6: Final answer
    x = 313,153.93

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1.5x scale

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.