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Finding the Fourth Proportional to 461,092.50, 636,832.53 and 309,927.06

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Solution

The fourth proportional to 461,092.50, 636,832.53 and 309,927.06 is: 428,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,092.50 : 636,832.53 = 309,927.06 : x
  2. Step 2: Convert to fraction form
    461,092.50/636,832.53 = 309,927.06/x
  3. Step 3: Cross multiply
    461,092.50x = 636,832.53 × 309,927.06
  4. Step 4: Simplify right side
    461,092.50x = 197,371,633,735.26
  5. Step 5: Solve for x
    x = 197,371,633,735.26/461,092.50
  6. Step 6: Final answer
    x = 428,052.15

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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.