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Finding the Fourth Proportional to 472,722.82, 652,361.66 and 257,863.84

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Solution

The fourth proportional to 472,722.82, 652,361.66 and 257,863.84 is: 355,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,722.82 : 652,361.66 = 257,863.84 : x
  2. Step 2: Convert to fraction form
    472,722.82/652,361.66 = 257,863.84/x
  3. Step 3: Cross multiply
    472,722.82x = 652,361.66 × 257,863.84
  4. Step 4: Simplify right side
    472,722.82x = 168,220,482,716.37
  5. Step 5: Solve for x
    x = 168,220,482,716.37/472,722.82
  6. Step 6: Final answer
    x = 355,854.37

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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.