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Finding the Fourth Proportional to 214,943.70, 322,415.55 and 194,276.55

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Solution

The fourth proportional to 214,943.70, 322,415.55 and 194,276.55 is: 291,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,943.70 : 322,415.55 = 194,276.55 : x
  2. Step 2: Convert to fraction form
    214,943.70/322,415.55 = 194,276.55/x
  3. Step 3: Cross multiply
    214,943.70x = 322,415.55 × 194,276.55
  4. Step 4: Simplify right side
    214,943.70x = 62,637,780,720.35
  5. Step 5: Solve for x
    x = 62,637,780,720.35/214,943.70
  6. Step 6: Final answer
    x = 291,414.83

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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.