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Finding the Fourth Proportional to 534,178.76, 801,375.06 and 197,221.46

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Solution

The fourth proportional to 534,178.76, 801,375.06 and 197,221.46 is: 295,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,178.76 : 801,375.06 = 197,221.46 : x
  2. Step 2: Convert to fraction form
    534,178.76/801,375.06 = 197,221.46/x
  3. Step 3: Cross multiply
    534,178.76x = 801,375.06 × 197,221.46
  4. Step 4: Simplify right side
    534,178.76x = 158,048,359,340.79
  5. Step 5: Solve for x
    x = 158,048,359,340.79/534,178.76
  6. Step 6: Final answer
    x = 295,871.67

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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.