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Finding the Fourth Proportional to 466,134.46, 699,199.70 and 129,174.15

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Solution

The fourth proportional to 466,134.46, 699,199.70 and 129,174.15 is: 193,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,134.46 : 699,199.70 = 129,174.15 : x
  2. Step 2: Convert to fraction form
    466,134.46/699,199.70 = 129,174.15/x
  3. Step 3: Cross multiply
    466,134.46x = 699,199.70 × 129,174.15
  4. Step 4: Simplify right side
    466,134.46x = 90,318,526,927.76
  5. Step 5: Solve for x
    x = 90,318,526,927.76/466,134.46
  6. Step 6: Final answer
    x = 193,760.67

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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.