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Finding the Fourth Proportional to 523,126.69, 784,697.33 and 149,149.69

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Solution

The fourth proportional to 523,126.69, 784,697.33 and 149,149.69 is: 223,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,126.69 : 784,697.33 = 149,149.69 : x
  2. Step 2: Convert to fraction form
    523,126.69/784,697.33 = 149,149.69/x
  3. Step 3: Cross multiply
    523,126.69x = 784,697.33 × 149,149.69
  4. Step 4: Simplify right side
    523,126.69x = 117,037,361,924.46
  5. Step 5: Solve for x
    x = 117,037,361,924.46/523,126.69
  6. Step 6: Final answer
    x = 223,726.61

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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.