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Finding the Fourth Proportional to 523,131.77, 784,704.95 and 149,154.77

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Solution

The fourth proportional to 523,131.77, 784,704.95 and 149,154.77 is: 223,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,131.77 : 784,704.95 = 149,154.77 : x
  2. Step 2: Convert to fraction form
    523,131.77/784,704.95 = 149,154.77/x
  3. Step 3: Cross multiply
    523,131.77x = 784,704.95 × 149,154.77
  4. Step 4: Simplify right side
    523,131.77x = 117,042,486,335.11
  5. Step 5: Solve for x
    x = 117,042,486,335.11/523,131.77
  6. Step 6: Final answer
    x = 223,734.23

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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.