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Finding the Fourth Proportional to 377,314.57, 565,899.63 and 146,503.55

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Solution

The fourth proportional to 377,314.57, 565,899.63 and 146,503.55 is: 219,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,314.57 : 565,899.63 = 146,503.55 : x
  2. Step 2: Convert to fraction form
    377,314.57/565,899.63 = 146,503.55/x
  3. Step 3: Cross multiply
    377,314.57x = 565,899.63 × 146,503.55
  4. Step 4: Simplify right side
    377,314.57x = 82,906,305,604.05
  5. Step 5: Solve for x
    x = 82,906,305,604.05/377,314.57
  6. Step 6: Final answer
    x = 219,727.28

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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.