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Finding the Fourth Proportional to 522,583.14, 721,295.37 and 321,262.50

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Solution

The fourth proportional to 522,583.14, 721,295.37 and 321,262.50 is: 443,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,583.14 : 721,295.37 = 321,262.50 : x
  2. Step 2: Convert to fraction form
    522,583.14/721,295.37 = 321,262.50/x
  3. Step 3: Cross multiply
    522,583.14x = 721,295.37 × 321,262.50
  4. Step 4: Simplify right side
    522,583.14x = 231,725,153,804.63
  5. Step 5: Solve for x
    x = 231,725,153,804.63/522,583.14
  6. Step 6: Final answer
    x = 443,422.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.