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Finding the Fourth Proportional to 513,178.86, 769,799.88 and 197,636.88

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Solution

The fourth proportional to 513,178.86, 769,799.88 and 197,636.88 is: 296,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,178.86 : 769,799.88 = 197,636.88 : x
  2. Step 2: Convert to fraction form
    513,178.86/769,799.88 = 197,636.88/x
  3. Step 3: Cross multiply
    513,178.86x = 769,799.88 × 197,636.88
  4. Step 4: Simplify right side
    513,178.86x = 152,140,846,507.57
  5. Step 5: Solve for x
    x = 152,140,846,507.57/513,178.86
  6. Step 6: Final answer
    x = 296,467.49

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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.