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Finding the Fourth Proportional to 631,384.47, 947,311.99 and 378,846.21

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Solution

The fourth proportional to 631,384.47, 947,311.99 and 378,846.21 is: 568,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,384.47 : 947,311.99 = 378,846.21 : x
  2. Step 2: Convert to fraction form
    631,384.47/947,311.99 = 378,846.21/x
  3. Step 3: Cross multiply
    631,384.47x = 947,311.99 × 378,846.21
  4. Step 4: Simplify right side
    631,384.47x = 358,885,557,099.06
  5. Step 5: Solve for x
    x = 358,885,557,099.06/631,384.47
  6. Step 6: Final answer
    x = 568,410.49

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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.