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Finding the Fourth Proportional to 323,439.52, 446,343.60 and 180,196.96

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Solution

The fourth proportional to 323,439.52, 446,343.60 and 180,196.96 is: 248,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,439.52 : 446,343.60 = 180,196.96 : x
  2. Step 2: Convert to fraction form
    323,439.52/446,343.60 = 180,196.96/x
  3. Step 3: Cross multiply
    323,439.52x = 446,343.60 × 180,196.96
  4. Step 4: Simplify right side
    323,439.52x = 80,429,759,835.46
  5. Step 5: Solve for x
    x = 80,429,759,835.46/323,439.52
  6. Step 6: Final answer
    x = 248,670.17

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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.