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Finding the Fourth Proportional to 323,537.82, 446,476.14 and 180,294.72

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Solution

The fourth proportional to 323,537.82, 446,476.14 and 180,294.72 is: 248,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,537.82 : 446,476.14 = 180,294.72 : x
  2. Step 2: Convert to fraction form
    323,537.82/446,476.14 = 180,294.72/x
  3. Step 3: Cross multiply
    323,537.82x = 446,476.14 × 180,294.72
  4. Step 4: Simplify right side
    323,537.82x = 80,497,290,647.98
  5. Step 5: Solve for x
    x = 80,497,290,647.98/323,537.82
  6. Step 6: Final answer
    x = 248,803.34

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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.