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Finding the Fourth Proportional to 486,496.50, 729,558.86 and 233,704.95

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Solution

The fourth proportional to 486,496.50, 729,558.86 and 233,704.95 is: 350,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,496.50 : 729,558.86 = 233,704.95 : x
  2. Step 2: Convert to fraction form
    486,496.50/729,558.86 = 233,704.95/x
  3. Step 3: Cross multiply
    486,496.50x = 729,558.86 × 233,704.95
  4. Step 4: Simplify right side
    486,496.50x = 170,501,515,729.83
  5. Step 5: Solve for x
    x = 170,501,515,729.83/486,496.50
  6. Step 6: Final answer
    x = 350,468.12

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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.