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Finding the Fourth Proportional to 523,126.27, 784,696.70 and 149,149.27

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Solution

The fourth proportional to 523,126.27, 784,696.70 and 149,149.27 is: 223,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,126.27 : 784,696.70 = 149,149.27 : x
  2. Step 2: Convert to fraction form
    523,126.27/784,696.70 = 149,149.27/x
  3. Step 3: Cross multiply
    523,126.27x = 784,696.70 × 149,149.27
  4. Step 4: Simplify right side
    523,126.27x = 117,036,939,976.41
  5. Step 5: Solve for x
    x = 117,036,939,976.41/523,126.27
  6. Step 6: Final answer
    x = 223,725.98

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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.