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Finding the Fourth Proportional to 298,700.84, 412,205.92 and 162,734.37

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Solution

The fourth proportional to 298,700.84, 412,205.92 and 162,734.37 is: 224,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,700.84 : 412,205.92 = 162,734.37 : x
  2. Step 2: Convert to fraction form
    298,700.84/412,205.92 = 162,734.37/x
  3. Step 3: Cross multiply
    298,700.84x = 412,205.92 × 162,734.37
  4. Step 4: Simplify right side
    298,700.84x = 67,080,070,701.47
  5. Step 5: Solve for x
    x = 67,080,070,701.47/298,700.84
  6. Step 6: Final answer
    x = 224,572.76

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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.