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Finding the Fourth Proportional to 667,892.94, 1,000,177.56 and 467,274.06

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Solution

The fourth proportional to 667,892.94, 1,000,177.56 and 467,274.06 is: 699,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,892.94 : 1,000,177.56 = 467,274.06 : x
  2. Step 2: Convert to fraction form
    667,892.94/1,000,177.56 = 467,274.06/x
  3. Step 3: Cross multiply
    667,892.94x = 1,000,177.56 × 467,274.06
  4. Step 4: Simplify right side
    667,892.94x = 467,357,029,182.09
  5. Step 5: Solve for x
    x = 467,357,029,182.09/667,892.94
  6. Step 6: Final answer
    x = 699,748.42

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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.