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Finding the Fourth Proportional to 323,516, 446,456.94 and 187,560.20

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Solution

The fourth proportional to 323,516, 446,456.94 and 187,560.20 is: 258,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,516 : 446,456.94 = 187,560.20 : x
  2. Step 2: Convert to fraction form
    323,516/446,456.94 = 187,560.20/x
  3. Step 3: Cross multiply
    323,516x = 446,456.94 × 187,560.20
  4. Step 4: Simplify right side
    323,516x = 83,737,552,957.79
  5. Step 5: Solve for x
    x = 83,737,552,957.79/323,516
  6. Step 6: Final answer
    x = 258,835.89

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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.