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Finding the Fourth Proportional to 4,633,046.65, 6,949,716.24 and 1,600,585.26

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Solution

The fourth proportional to 4,633,046.65, 6,949,716.24 and 1,600,585.26 is: 2,400,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633,046.65 : 6,949,716.24 = 1,600,585.26 : x
  2. Step 2: Convert to fraction form
    4,633,046.65/6,949,716.24 = 1,600,585.26/x
  3. Step 3: Cross multiply
    4,633,046.65x = 6,949,716.24 × 1,600,585.26
  4. Step 4: Simplify right side
    4,633,046.65x = 11,123,613,332,175.12
  5. Step 5: Solve for x
    x = 11,123,613,332,175.12/4,633,046.65
  6. Step 6: Final answer
    x = 2,400,928.41

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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.