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Finding the Fourth Proportional to 410,027.81, 615,019.83 and 110,503.58

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Solution

The fourth proportional to 410,027.81, 615,019.83 and 110,503.58 is: 165,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,027.81 : 615,019.83 = 110,503.58 : x
  2. Step 2: Convert to fraction form
    410,027.81/615,019.83 = 110,503.58/x
  3. Step 3: Cross multiply
    410,027.81x = 615,019.83 × 110,503.58
  4. Step 4: Simplify right side
    410,027.81x = 67,961,889,910.89
  5. Step 5: Solve for x
    x = 67,961,889,910.89/410,027.81
  6. Step 6: Final answer
    x = 165,749.47

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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.