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Finding the Fourth Proportional to 307,577.60, 460,977.60 and 274,140.80

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Solution

The fourth proportional to 307,577.60, 460,977.60 and 274,140.80 is: 410,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,577.60 : 460,977.60 = 274,140.80 : x
  2. Step 2: Convert to fraction form
    307,577.60/460,977.60 = 274,140.80/x
  3. Step 3: Cross multiply
    307,577.60x = 460,977.60 × 274,140.80
  4. Step 4: Simplify right side
    307,577.60x = 126,372,768,046.08
  5. Step 5: Solve for x
    x = 126,372,768,046.08/307,577.60
  6. Step 6: Final answer
    x = 410,864.67

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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.