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Finding the Fourth Proportional to 242,404.12, 363,622.74 and 82,414.92

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Solution

The fourth proportional to 242,404.12, 363,622.74 and 82,414.92 is: 123,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,404.12 : 363,622.74 = 82,414.92 : x
  2. Step 2: Convert to fraction form
    242,404.12/363,622.74 = 82,414.92/x
  3. Step 3: Cross multiply
    242,404.12x = 363,622.74 × 82,414.92
  4. Step 4: Simplify right side
    242,404.12x = 29,967,939,027.28
  5. Step 5: Solve for x
    x = 29,967,939,027.28/242,404.12
  6. Step 6: Final answer
    x = 123,628.01

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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.