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Finding the Fourth Proportional to 499,472.71, 749,084.36 and 195,928.56

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Solution

The fourth proportional to 499,472.71, 749,084.36 and 195,928.56 is: 293,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,472.71 : 749,084.36 = 195,928.56 : x
  2. Step 2: Convert to fraction form
    499,472.71/749,084.36 = 195,928.56/x
  3. Step 3: Cross multiply
    499,472.71x = 749,084.36 × 195,928.56
  4. Step 4: Simplify right side
    499,472.71x = 146,767,018,993.68
  5. Step 5: Solve for x
    x = 146,767,018,993.68/499,472.71
  6. Step 6: Final answer
    x = 293,843.92

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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.