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Finding the Fourth Proportional to 614,538.78, 922,093.29 and 259,635.66

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Solution

The fourth proportional to 614,538.78, 922,093.29 and 259,635.66 is: 389,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,538.78 : 922,093.29 = 259,635.66 : x
  2. Step 2: Convert to fraction form
    614,538.78/922,093.29 = 259,635.66/x
  3. Step 3: Cross multiply
    614,538.78x = 922,093.29 × 259,635.66
  4. Step 4: Simplify right side
    614,538.78x = 239,408,299,930.72
  5. Step 5: Solve for x
    x = 239,408,299,930.72/614,538.78
  6. Step 6: Final answer
    x = 389,573.95

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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.