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Finding the Fourth Proportional to 522,584.14, 721,296.75 and 321,263.50

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Solution

The fourth proportional to 522,584.14, 721,296.75 and 321,263.50 is: 443,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,584.14 : 721,296.75 = 321,263.50 : x
  2. Step 2: Convert to fraction form
    522,584.14/721,296.75 = 321,263.50/x
  3. Step 3: Cross multiply
    522,584.14x = 721,296.75 × 321,263.50
  4. Step 4: Simplify right side
    522,584.14x = 231,726,318,443.63
  5. Step 5: Solve for x
    x = 231,726,318,443.63/522,584.14
  6. Step 6: Final answer
    x = 443,423.94

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