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Finding the Fourth Proportional to 523,050, 784,691.64 and 190,626

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Solution

The fourth proportional to 523,050, 784,691.64 and 190,626 is: 285,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,050 : 784,691.64 = 190,626 : x
  2. Step 2: Convert to fraction form
    523,050/784,691.64 = 190,626/x
  3. Step 3: Cross multiply
    523,050x = 784,691.64 × 190,626
  4. Step 4: Simplify right side
    523,050x = 149,582,628,566.64
  5. Step 5: Solve for x
    x = 149,582,628,566.64/523,050
  6. Step 6: Final answer
    x = 285,981.51

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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.