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Finding the Fourth Proportional to 323,637.78, 446,827.68 and 208,967.70

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Solution

The fourth proportional to 323,637.78, 446,827.68 and 208,967.70 is: 288,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,637.78 : 446,827.68 = 208,967.70 : x
  2. Step 2: Convert to fraction form
    323,637.78/446,827.68 = 208,967.70/x
  3. Step 3: Cross multiply
    323,637.78x = 446,827.68 × 208,967.70
  4. Step 4: Simplify right side
    323,637.78x = 93,372,552,585.94
  5. Step 5: Solve for x
    x = 93,372,552,585.94/323,637.78
  6. Step 6: Final answer
    x = 288,509.43

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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.