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Finding the Fourth Proportional to 320,661.36, 442,319.91 and 211,766.70

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Solution

The fourth proportional to 320,661.36, 442,319.91 and 211,766.70 is: 292,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,661.36 : 442,319.91 = 211,766.70 : x
  2. Step 2: Convert to fraction form
    320,661.36/442,319.91 = 211,766.70/x
  3. Step 3: Cross multiply
    320,661.36x = 442,319.91 × 211,766.70
  4. Step 4: Simplify right side
    320,661.36x = 93,668,627,685.00
  5. Step 5: Solve for x
    x = 93,668,627,685.00/320,661.36
  6. Step 6: Final answer
    x = 292,110.74

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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.