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Finding the Fourth Proportional to 329,344.92, 494,678.70 and 196,484.76

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Solution

The fourth proportional to 329,344.92, 494,678.70 and 196,484.76 is: 295,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,344.92 : 494,678.70 = 196,484.76 : x
  2. Step 2: Convert to fraction form
    329,344.92/494,678.70 = 196,484.76/x
  3. Step 3: Cross multiply
    329,344.92x = 494,678.70 × 196,484.76
  4. Step 4: Simplify right side
    329,344.92x = 97,196,825,646.61
  5. Step 5: Solve for x
    x = 97,196,825,646.61/329,344.92
  6. Step 6: Final answer
    x = 295,121.68

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1.5x scale

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.