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Finding the Fourth Proportional to 400,274.40, 600,359.76 and 150,924

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Solution

The fourth proportional to 400,274.40, 600,359.76 and 150,924 is: 226,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,274.40 : 600,359.76 = 150,924 : x
  2. Step 2: Convert to fraction form
    400,274.40/600,359.76 = 150,924/x
  3. Step 3: Cross multiply
    400,274.40x = 600,359.76 × 150,924
  4. Step 4: Simplify right side
    400,274.40x = 90,608,696,418.24
  5. Step 5: Solve for x
    x = 90,608,696,418.24/400,274.40
  6. Step 6: Final answer
    x = 226,366.45

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