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Finding the Fourth Proportional to 494,353.25, 682,212.86 and 290,412.76

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Solution

The fourth proportional to 494,353.25, 682,212.86 and 290,412.76 is: 400,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,353.25 : 682,212.86 = 290,412.76 : x
  2. Step 2: Convert to fraction form
    494,353.25/682,212.86 = 290,412.76/x
  3. Step 3: Cross multiply
    494,353.25x = 682,212.86 × 290,412.76
  4. Step 4: Simplify right side
    494,353.25x = 198,123,319,580.09
  5. Step 5: Solve for x
    x = 198,123,319,580.09/494,353.25
  6. Step 6: Final answer
    x = 400,772.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.