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Finding the Fourth Proportional to 369,380.67, 509,723.38 and 214,319.97

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Solution

The fourth proportional to 369,380.67, 509,723.38 and 214,319.97 is: 295,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,380.67 : 509,723.38 = 214,319.97 : x
  2. Step 2: Convert to fraction form
    369,380.67/509,723.38 = 214,319.97/x
  3. Step 3: Cross multiply
    369,380.67x = 509,723.38 × 214,319.97
  4. Step 4: Simplify right side
    369,380.67x = 109,243,899,509.90
  5. Step 5: Solve for x
    x = 109,243,899,509.90/369,380.67
  6. Step 6: Final answer
    x = 295,748.83

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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.