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Finding the Fourth Proportional to 280,363.08, 420,550.58 and 100,460.24

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Solution

The fourth proportional to 280,363.08, 420,550.58 and 100,460.24 is: 150,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,363.08 : 420,550.58 = 100,460.24 : x
  2. Step 2: Convert to fraction form
    280,363.08/420,550.58 = 100,460.24/x
  3. Step 3: Cross multiply
    280,363.08x = 420,550.58 × 100,460.24
  4. Step 4: Simplify right side
    280,363.08x = 42,248,612,198.94
  5. Step 5: Solve for x
    x = 42,248,612,198.94/280,363.08
  6. Step 6: Final answer
    x = 150,692.50

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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.