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Finding the Fourth Proportional to 415,797.60, 622,633.68 and 228,603.36

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Solution

The fourth proportional to 415,797.60, 622,633.68 and 228,603.36 is: 342,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,797.60 : 622,633.68 = 228,603.36 : x
  2. Step 2: Convert to fraction form
    415,797.60/622,633.68 = 228,603.36/x
  3. Step 3: Cross multiply
    415,797.60x = 622,633.68 × 228,603.36
  4. Step 4: Simplify right side
    415,797.60x = 142,336,151,297.17
  5. Step 5: Solve for x
    x = 142,336,151,297.17/415,797.60
  6. Step 6: Final answer
    x = 342,320.76

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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.