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Finding the Fourth Proportional to 513,385.28, 770,209.28 and 197,757.44

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Solution

The fourth proportional to 513,385.28, 770,209.28 and 197,757.44 is: 296,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,385.28 : 770,209.28 = 197,757.44 : x
  2. Step 2: Convert to fraction form
    513,385.28/770,209.28 = 197,757.44/x
  3. Step 3: Cross multiply
    513,385.28x = 770,209.28 × 197,757.44
  4. Step 4: Simplify right side
    513,385.28x = 152,314,615,477.04
  5. Step 5: Solve for x
    x = 152,314,615,477.04/513,385.28
  6. Step 6: Final answer
    x = 296,686.76

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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.