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Finding the Fourth Proportional to 339,562.80, 509,344.20 and 280,465.20

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Solution

The fourth proportional to 339,562.80, 509,344.20 and 280,465.20 is: 420,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,562.80 : 509,344.20 = 280,465.20 : x
  2. Step 2: Convert to fraction form
    339,562.80/509,344.20 = 280,465.20/x
  3. Step 3: Cross multiply
    339,562.80x = 509,344.20 × 280,465.20
  4. Step 4: Simplify right side
    339,562.80x = 142,853,322,921.84
  5. Step 5: Solve for x
    x = 142,853,322,921.84/339,562.80
  6. Step 6: Final answer
    x = 420,697.80

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1.5x scale

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.