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Finding the Fourth Proportional to 582,358.53, 873,682.83 and 462,866.31

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Solution

The fourth proportional to 582,358.53, 873,682.83 and 462,866.31 is: 694,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,358.53 : 873,682.83 = 462,866.31 : x
  2. Step 2: Convert to fraction form
    582,358.53/873,682.83 = 462,866.31/x
  3. Step 3: Cross multiply
    582,358.53x = 873,682.83 × 462,866.31
  4. Step 4: Simplify right side
    582,358.53x = 404,398,347,632.46
  5. Step 5: Solve for x
    x = 404,398,347,632.46/582,358.53
  6. Step 6: Final answer
    x = 694,414.74

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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.