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Finding the Fourth Proportional to 432,838.59, 649,257.73 and 117,295.49

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Solution

The fourth proportional to 432,838.59, 649,257.73 and 117,295.49 is: 175,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,838.59 : 649,257.73 = 117,295.49 : x
  2. Step 2: Convert to fraction form
    432,838.59/649,257.73 = 117,295.49/x
  3. Step 3: Cross multiply
    432,838.59x = 649,257.73 × 117,295.49
  4. Step 4: Simplify right side
    432,838.59x = 76,155,004,906.54
  5. Step 5: Solve for x
    x = 76,155,004,906.54/432,838.59
  6. Step 6: Final answer
    x = 175,943.20

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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.