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Finding the Fourth Proportional to 214,217.34, 319,410.83 and 208,332.03

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Solution

The fourth proportional to 214,217.34, 319,410.83 and 208,332.03 is: 310,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,217.34 : 319,410.83 = 208,332.03 : x
  2. Step 2: Convert to fraction form
    214,217.34/319,410.83 = 208,332.03/x
  3. Step 3: Cross multiply
    214,217.34x = 319,410.83 × 208,332.03
  4. Step 4: Simplify right side
    214,217.34x = 66,543,505,576.22
  5. Step 5: Solve for x
    x = 66,543,505,576.22/214,217.34
  6. Step 6: Final answer
    x = 310,635.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.