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Finding the Fourth Proportional to 500,964.56, 691,076.98 and 316,892.97

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Solution

The fourth proportional to 500,964.56, 691,076.98 and 316,892.97 is: 437,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,964.56 : 691,076.98 = 316,892.97 : x
  2. Step 2: Convert to fraction form
    500,964.56/691,076.98 = 316,892.97/x
  3. Step 3: Cross multiply
    500,964.56x = 691,076.98 × 316,892.97
  4. Step 4: Simplify right side
    500,964.56x = 218,997,436,690.83
  5. Step 5: Solve for x
    x = 218,997,436,690.83/500,964.56
  6. Step 6: Final answer
    x = 437,151.56

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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.