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Finding the Fourth Proportional to 410,043.15, 614,994.64 and 110,453.67

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Solution

The fourth proportional to 410,043.15, 614,994.64 and 110,453.67 is: 165,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,043.15 : 614,994.64 = 110,453.67 : x
  2. Step 2: Convert to fraction form
    410,043.15/614,994.64 = 110,453.67/x
  3. Step 3: Cross multiply
    410,043.15x = 614,994.64 × 110,453.67
  4. Step 4: Simplify right side
    410,043.15x = 67,928,415,018.33
  5. Step 5: Solve for x
    x = 67,928,415,018.33/410,043.15
  6. Step 6: Final answer
    x = 165,661.63

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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.