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Finding the Fourth Proportional to 705,972.06, 974,249.01 and 383,682.20

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Solution

The fourth proportional to 705,972.06, 974,249.01 and 383,682.20 is: 529,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,972.06 : 974,249.01 = 383,682.20 : x
  2. Step 2: Convert to fraction form
    705,972.06/974,249.01 = 383,682.20/x
  3. Step 3: Cross multiply
    705,972.06x = 974,249.01 × 383,682.20
  4. Step 4: Simplify right side
    705,972.06x = 373,801,998,633.38
  5. Step 5: Solve for x
    x = 373,801,998,633.38/705,972.06
  6. Step 6: Final answer
    x = 529,485.54

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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.