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Finding the Fourth Proportional to 288,037.20, 431,472.60 and 199,390.80

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Solution

The fourth proportional to 288,037.20, 431,472.60 and 199,390.80 is: 298,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,037.20 : 431,472.60 = 199,390.80 : x
  2. Step 2: Convert to fraction form
    288,037.20/431,472.60 = 199,390.80/x
  3. Step 3: Cross multiply
    288,037.20x = 431,472.60 × 199,390.80
  4. Step 4: Simplify right side
    288,037.20x = 86,031,666,892.08
  5. Step 5: Solve for x
    x = 86,031,666,892.08/288,037.20
  6. Step 6: Final answer
    x = 298,682.49

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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.