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Finding the Fourth Proportional to 397,116.99, 548,101.15 and 235,941

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Solution

The fourth proportional to 397,116.99, 548,101.15 and 235,941 is: 325,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,116.99 : 548,101.15 = 235,941 : x
  2. Step 2: Convert to fraction form
    397,116.99/548,101.15 = 235,941/x
  3. Step 3: Cross multiply
    397,116.99x = 548,101.15 × 235,941
  4. Step 4: Simplify right side
    397,116.99x = 129,319,533,432.15
  5. Step 5: Solve for x
    x = 129,319,533,432.15/397,116.99
  6. Step 6: Final answer
    x = 325,645.93

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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.