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Finding the Fourth Proportional to 614,850.30, 916,093.49 and 580,472.78

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Solution

The fourth proportional to 614,850.30, 916,093.49 and 580,472.78 is: 864,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,850.30 : 916,093.49 = 580,472.78 : x
  2. Step 2: Convert to fraction form
    614,850.30/916,093.49 = 580,472.78/x
  3. Step 3: Cross multiply
    614,850.30x = 916,093.49 × 580,472.78
  4. Step 4: Simplify right side
    614,850.30x = 531,767,327,397.37
  5. Step 5: Solve for x
    x = 531,767,327,397.37/614,850.30
  6. Step 6: Final answer
    x = 864,872.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.