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Finding the Fourth Proportional to 633,143.64, 949,727.61 and 233,578.74

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Solution

The fourth proportional to 633,143.64, 949,727.61 and 233,578.74 is: 350,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,143.64 : 949,727.61 = 233,578.74 : x
  2. Step 2: Convert to fraction form
    633,143.64/949,727.61 = 233,578.74/x
  3. Step 3: Cross multiply
    633,143.64x = 949,727.61 × 233,578.74
  4. Step 4: Simplify right side
    633,143.64x = 221,836,178,487.01
  5. Step 5: Solve for x
    x = 221,836,178,487.01/633,143.64
  6. Step 6: Final answer
    x = 350,372.59

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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.