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Finding the Fourth Proportional to 463,944.40, 695,981.40 and 197,702.80

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Solution

The fourth proportional to 463,944.40, 695,981.40 and 197,702.80 is: 296,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,944.40 : 695,981.40 = 197,702.80 : x
  2. Step 2: Convert to fraction form
    463,944.40/695,981.40 = 197,702.80/x
  3. Step 3: Cross multiply
    463,944.40x = 695,981.40 × 197,702.80
  4. Step 4: Simplify right side
    463,944.40x = 137,597,471,527.92
  5. Step 5: Solve for x
    x = 137,597,471,527.92/463,944.40
  6. Step 6: Final answer
    x = 296,581.81

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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.