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Finding the Fourth Proportional to 614,635.56, 922,077.24 and 259,648.98

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Solution

The fourth proportional to 614,635.56, 922,077.24 and 259,648.98 is: 389,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,635.56 : 922,077.24 = 259,648.98 : x
  2. Step 2: Convert to fraction form
    614,635.56/922,077.24 = 259,648.98/x
  3. Step 3: Cross multiply
    614,635.56x = 922,077.24 × 259,648.98
  4. Step 4: Simplify right side
    614,635.56x = 239,416,414,847.22
  5. Step 5: Solve for x
    x = 239,416,414,847.22/614,635.56
  6. Step 6: Final answer
    x = 389,525.81

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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.