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Finding the Fourth Proportional to 298,976.84, 412,591.26 and 163,009.68

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Solution

The fourth proportional to 298,976.84, 412,591.26 and 163,009.68 is: 224,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,976.84 : 412,591.26 = 163,009.68 : x
  2. Step 2: Convert to fraction form
    298,976.84/412,591.26 = 163,009.68/x
  3. Step 3: Cross multiply
    298,976.84x = 412,591.26 × 163,009.68
  4. Step 4: Simplify right side
    298,976.84x = 67,256,366,385.39
  5. Step 5: Solve for x
    x = 67,256,366,385.39/298,976.84
  6. Step 6: Final answer
    x = 224,955.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.