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Finding the Fourth Proportional to 305,942.40, 458,465.40 and 274,352.40

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Solution

The fourth proportional to 305,942.40, 458,465.40 and 274,352.40 is: 411,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,942.40 : 458,465.40 = 274,352.40 : x
  2. Step 2: Convert to fraction form
    305,942.40/458,465.40 = 274,352.40/x
  3. Step 3: Cross multiply
    305,942.40x = 458,465.40 × 274,352.40
  4. Step 4: Simplify right side
    305,942.40x = 125,781,082,806.96
  5. Step 5: Solve for x
    x = 125,781,082,806.96/305,942.40
  6. Step 6: Final answer
    x = 411,126.68

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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.