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Finding the Fourth Proportional to 280,648.89, 421,039.08 and 191,944.17

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Solution

The fourth proportional to 280,648.89, 421,039.08 and 191,944.17 is: 287,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,648.89 : 421,039.08 = 191,944.17 : x
  2. Step 2: Convert to fraction form
    280,648.89/421,039.08 = 191,944.17/x
  3. Step 3: Cross multiply
    280,648.89x = 421,039.08 × 191,944.17
  4. Step 4: Simplify right side
    280,648.89x = 80,815,996,748.16
  5. Step 5: Solve for x
    x = 80,815,996,748.16/280,648.89
  6. Step 6: Final answer
    x = 287,961.22

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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.