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Finding the Fourth Proportional to 283,695.86, 391,471.44 and 162,808.22

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Solution

The fourth proportional to 283,695.86, 391,471.44 and 162,808.22 is: 224,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,695.86 : 391,471.44 = 162,808.22 : x
  2. Step 2: Convert to fraction form
    283,695.86/391,471.44 = 162,808.22/x
  3. Step 3: Cross multiply
    283,695.86x = 391,471.44 × 162,808.22
  4. Step 4: Simplify right side
    283,695.86x = 63,734,768,327.24
  5. Step 5: Solve for x
    x = 63,734,768,327.24/283,695.86
  6. Step 6: Final answer
    x = 224,658.79

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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.