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Finding the Fourth Proportional to 298,604.76, 412,074.56 and 164,468.76

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Solution

The fourth proportional to 298,604.76, 412,074.56 and 164,468.76 is: 226,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,604.76 : 412,074.56 = 164,468.76 : x
  2. Step 2: Convert to fraction form
    298,604.76/412,074.56 = 164,468.76/x
  3. Step 3: Cross multiply
    298,604.76x = 412,074.56 × 164,468.76
  4. Step 4: Simplify right side
    298,604.76x = 67,773,391,910.75
  5. Step 5: Solve for x
    x = 67,773,391,910.75/298,604.76
  6. Step 6: Final answer
    x = 226,966.88

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1.5x scale

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.