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Finding the Fourth Proportional to 705,940.05, 974,204.78 and 383,650.14

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Solution

The fourth proportional to 705,940.05, 974,204.78 and 383,650.14 is: 529,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,940.05 : 974,204.78 = 383,650.14 : x
  2. Step 2: Convert to fraction form
    705,940.05/974,204.78 = 383,650.14/x
  3. Step 3: Cross multiply
    705,940.05x = 974,204.78 × 383,650.14
  4. Step 4: Simplify right side
    705,940.05x = 373,753,800,235.67
  5. Step 5: Solve for x
    x = 373,753,800,235.67/705,940.05
  6. Step 6: Final answer
    x = 529,441.28

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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.