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Finding the Fourth Proportional to 214,896.50, 322,395.17 and 211,326.22

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Solution

The fourth proportional to 214,896.50, 322,395.17 and 211,326.22 is: 317,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,896.50 : 322,395.17 = 211,326.22 : x
  2. Step 2: Convert to fraction form
    214,896.50/322,395.17 = 211,326.22/x
  3. Step 3: Cross multiply
    214,896.50x = 322,395.17 × 211,326.22
  4. Step 4: Simplify right side
    214,896.50x = 68,130,553,428.35
  5. Step 5: Solve for x
    x = 68,130,553,428.35/214,896.50
  6. Step 6: Final answer
    x = 317,038.92

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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.