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Finding the Fourth Proportional to 417,716.70, 576,449.52 and 226,730.04

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Solution

The fourth proportional to 417,716.70, 576,449.52 and 226,730.04 is: 312,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,716.70 : 576,449.52 = 226,730.04 : x
  2. Step 2: Convert to fraction form
    417,716.70/576,449.52 = 226,730.04/x
  3. Step 3: Cross multiply
    417,716.70x = 576,449.52 × 226,730.04
  4. Step 4: Simplify right side
    417,716.70x = 130,698,422,727.58
  5. Step 5: Solve for x
    x = 130,698,422,727.58/417,716.70
  6. Step 6: Final answer
    x = 312,887.71

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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.