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Finding the Fourth Proportional to 323,549.66, 446,531.92 and 194,530.34

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Solution

The fourth proportional to 323,549.66, 446,531.92 and 194,530.34 is: 268,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,549.66 : 446,531.92 = 194,530.34 : x
  2. Step 2: Convert to fraction form
    323,549.66/446,531.92 = 194,530.34/x
  3. Step 3: Cross multiply
    323,549.66x = 446,531.92 × 194,530.34
  4. Step 4: Simplify right side
    323,549.66x = 86,864,006,218.45
  5. Step 5: Solve for x
    x = 86,864,006,218.45/323,549.66
  6. Step 6: Final answer
    x = 268,471.94

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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.