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Finding the Fourth Proportional to 289,932.43, 435,023.79 and 156,906.55

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Solution

The fourth proportional to 289,932.43, 435,023.79 and 156,906.55 is: 235,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,932.43 : 435,023.79 = 156,906.55 : x
  2. Step 2: Convert to fraction form
    289,932.43/435,023.79 = 156,906.55/x
  3. Step 3: Cross multiply
    289,932.43x = 435,023.79 × 156,906.55
  4. Step 4: Simplify right side
    289,932.43x = 68,258,082,056.82
  5. Step 5: Solve for x
    x = 68,258,082,056.82/289,932.43
  6. Step 6: Final answer
    x = 235,427.55

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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.