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Finding the Fourth Proportional to 214,963.30, 322,483.92 and 175,333.56

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Solution

The fourth proportional to 214,963.30, 322,483.92 and 175,333.56 is: 263,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,963.30 : 322,483.92 = 175,333.56 : x
  2. Step 2: Convert to fraction form
    214,963.30/322,483.92 = 175,333.56/x
  3. Step 3: Cross multiply
    214,963.30x = 322,483.92 × 175,333.56
  4. Step 4: Simplify right side
    214,963.30x = 56,542,253,736.36
  5. Step 5: Solve for x
    x = 56,542,253,736.36/214,963.30
  6. Step 6: Final answer
    x = 263,032.13

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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.