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Finding the Fourth Proportional to 410,041.15, 614,991.64 and 110,451.67

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Solution

The fourth proportional to 410,041.15, 614,991.64 and 110,451.67 is: 165,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,041.15 : 614,991.64 = 110,451.67 : x
  2. Step 2: Convert to fraction form
    410,041.15/614,991.64 = 110,451.67/x
  3. Step 3: Cross multiply
    410,041.15x = 614,991.64 × 110,451.67
  4. Step 4: Simplify right side
    410,041.15x = 67,926,852,067.53
  5. Step 5: Solve for x
    x = 67,926,852,067.53/410,041.15
  6. Step 6: Final answer
    x = 165,658.62

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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.