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Finding the Fourth Proportional to 323,861.81, 446,784.88 and 187,816.91

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Solution

The fourth proportional to 323,861.81, 446,784.88 and 187,816.91 is: 259,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,861.81 : 446,784.88 = 187,816.91 : x
  2. Step 2: Convert to fraction form
    323,861.81/446,784.88 = 187,816.91/x
  3. Step 3: Cross multiply
    323,861.81x = 446,784.88 × 187,816.91
  4. Step 4: Simplify right side
    323,861.81x = 83,913,756,031.30
  5. Step 5: Solve for x
    x = 83,913,756,031.30/323,861.81
  6. Step 6: Final answer
    x = 259,103.59

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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.