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Finding the Fourth Proportional to 274,801.32, 411,592.92 and 211,152.92

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Solution

The fourth proportional to 274,801.32, 411,592.92 and 211,152.92 is: 316,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,801.32 : 411,592.92 = 211,152.92 : x
  2. Step 2: Convert to fraction form
    274,801.32/411,592.92 = 211,152.92/x
  3. Step 3: Cross multiply
    274,801.32x = 411,592.92 × 211,152.92
  4. Step 4: Simplify right side
    274,801.32x = 86,909,046,909.33
  5. Step 5: Solve for x
    x = 86,909,046,909.33/274,801.32
  6. Step 6: Final answer
    x = 316,261.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.