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Finding the Fourth Proportional to 523,062, 784,709.64 and 190,638

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Solution

The fourth proportional to 523,062, 784,709.64 and 190,638 is: 285,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,062 : 784,709.64 = 190,638 : x
  2. Step 2: Convert to fraction form
    523,062/784,709.64 = 190,638/x
  3. Step 3: Cross multiply
    523,062x = 784,709.64 × 190,638
  4. Step 4: Simplify right side
    523,062x = 149,595,476,350.32
  5. Step 5: Solve for x
    x = 149,595,476,350.32/523,062
  6. Step 6: Final answer
    x = 285,999.51

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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.