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Finding the Fourth Proportional to 493,364.20, 740,046.30 and 177,831.40

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Solution

The fourth proportional to 493,364.20, 740,046.30 and 177,831.40 is: 266,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,364.20 : 740,046.30 = 177,831.40 : x
  2. Step 2: Convert to fraction form
    493,364.20/740,046.30 = 177,831.40/x
  3. Step 3: Cross multiply
    493,364.20x = 740,046.30 × 177,831.40
  4. Step 4: Simplify right side
    493,364.20x = 131,603,469,593.82
  5. Step 5: Solve for x
    x = 131,603,469,593.82/493,364.20
  6. Step 6: Final answer
    x = 266,747.10

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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.