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Finding the Fourth Proportional to 413,741.64, 620,110.80 and 188,793.84

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Solution

The fourth proportional to 413,741.64, 620,110.80 and 188,793.84 is: 282,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741.64 : 620,110.80 = 188,793.84 : x
  2. Step 2: Convert to fraction form
    413,741.64/620,110.80 = 188,793.84/x
  3. Step 3: Cross multiply
    413,741.64x = 620,110.80 × 188,793.84
  4. Step 4: Simplify right side
    413,741.64x = 117,073,099,157.47
  5. Step 5: Solve for x
    x = 117,073,099,157.47/413,741.64
  6. Step 6: Final answer
    x = 282,961.85

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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.