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Finding the Fourth Proportional to 297,785.84, 410,778.12 and 182,984.72

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Solution

The fourth proportional to 297,785.84, 410,778.12 and 182,984.72 is: 252,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,785.84 : 410,778.12 = 182,984.72 : x
  2. Step 2: Convert to fraction form
    297,785.84/410,778.12 = 182,984.72/x
  3. Step 3: Cross multiply
    297,785.84x = 410,778.12 × 182,984.72
  4. Step 4: Simplify right side
    297,785.84x = 75,166,119,270.33
  5. Step 5: Solve for x
    x = 75,166,119,270.33/297,785.84
  6. Step 6: Final answer
    x = 252,416.70

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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.