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Finding the Fourth Proportional to 456,616.28, 684,721.95 and 243,344.44

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Solution

The fourth proportional to 456,616.28, 684,721.95 and 243,344.44 is: 364,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,616.28 : 684,721.95 = 243,344.44 : x
  2. Step 2: Convert to fraction form
    456,616.28/684,721.95 = 243,344.44/x
  3. Step 3: Cross multiply
    456,616.28x = 684,721.95 × 243,344.44
  4. Step 4: Simplify right side
    456,616.28x = 166,623,275,570.26
  5. Step 5: Solve for x
    x = 166,623,275,570.26/456,616.28
  6. Step 6: Final answer
    x = 364,908.75

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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.