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Finding the Fourth Proportional to 349,512.58, 524,793.75 and 199,921.78

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Solution

The fourth proportional to 349,512.58, 524,793.75 and 199,921.78 is: 300,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,512.58 : 524,793.75 = 199,921.78 : x
  2. Step 2: Convert to fraction form
    349,512.58/524,793.75 = 199,921.78/x
  3. Step 3: Cross multiply
    349,512.58x = 524,793.75 × 199,921.78
  4. Step 4: Simplify right side
    349,512.58x = 104,917,699,320.89
  5. Step 5: Solve for x
    x = 104,917,699,320.89/349,512.58
  6. Step 6: Final answer
    x = 300,182.90

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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.