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Finding the Fourth Proportional to 280,015.40, 420,023.10 and 159,949.10

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Solution

The fourth proportional to 280,015.40, 420,023.10 and 159,949.10 is: 239,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,015.40 : 420,023.10 = 159,949.10 : x
  2. Step 2: Convert to fraction form
    280,015.40/420,023.10 = 159,949.10/x
  3. Step 3: Cross multiply
    280,015.40x = 420,023.10 × 159,949.10
  4. Step 4: Simplify right side
    280,015.40x = 67,182,316,824.21
  5. Step 5: Solve for x
    x = 67,182,316,824.21/280,015.40
  6. Step 6: Final answer
    x = 239,923.65

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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.