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Finding the Fourth Proportional to 331,810.50, 497,717.58 and 82,492.50

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Solution

The fourth proportional to 331,810.50, 497,717.58 and 82,492.50 is: 123,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,810.50 : 497,717.58 = 82,492.50 : x
  2. Step 2: Convert to fraction form
    331,810.50/497,717.58 = 82,492.50/x
  3. Step 3: Cross multiply
    331,810.50x = 497,717.58 × 82,492.50
  4. Step 4: Simplify right side
    331,810.50x = 41,057,967,468.15
  5. Step 5: Solve for x
    x = 41,057,967,468.15/331,810.50
  6. Step 6: Final answer
    x = 123,739.20

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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.