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Finding the Fourth Proportional to 323,692.90, 446,698.13 and 187,807.77

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Solution

The fourth proportional to 323,692.90, 446,698.13 and 187,807.77 is: 259,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,692.90 : 446,698.13 = 187,807.77 : x
  2. Step 2: Convert to fraction form
    323,692.90/446,698.13 = 187,807.77/x
  3. Step 3: Cross multiply
    323,692.90x = 446,698.13 × 187,807.77
  4. Step 4: Simplify right side
    323,692.90x = 83,893,378,719.43
  5. Step 5: Solve for x
    x = 83,893,378,719.43/323,692.90
  6. Step 6: Final answer
    x = 259,175.84

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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.