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Finding the Fourth Proportional to 505,459.68, 696,348.91 and 352,219.78

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Solution

The fourth proportional to 505,459.68, 696,348.91 and 352,219.78 is: 485,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,459.68 : 696,348.91 = 352,219.78 : x
  2. Step 2: Convert to fraction form
    505,459.68/696,348.91 = 352,219.78/x
  3. Step 3: Cross multiply
    505,459.68x = 696,348.91 × 352,219.78
  4. Step 4: Simplify right side
    505,459.68x = 245,267,859,883.44
  5. Step 5: Solve for x
    x = 245,267,859,883.44/505,459.68
  6. Step 6: Final answer
    x = 485,237.24

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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.