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Finding the Fourth Proportional to 423,211.77, 633,976.84 and 233,200.86

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Solution

The fourth proportional to 423,211.77, 633,976.84 and 233,200.86 is: 349,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,211.77 : 633,976.84 = 233,200.86 : x
  2. Step 2: Convert to fraction form
    423,211.77/633,976.84 = 233,200.86/x
  3. Step 3: Cross multiply
    423,211.77x = 633,976.84 × 233,200.86
  4. Step 4: Simplify right side
    423,211.77x = 147,843,942,222.17
  5. Step 5: Solve for x
    x = 147,843,942,222.17/423,211.77
  6. Step 6: Final answer
    x = 349,337.97

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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.