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Finding the Fourth Proportional to 295,631.80, 407,971.82 and 159,665.74

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Solution

The fourth proportional to 295,631.80, 407,971.82 and 159,665.74 is: 220,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,631.80 : 407,971.82 = 159,665.74 : x
  2. Step 2: Convert to fraction form
    295,631.80/407,971.82 = 159,665.74/x
  3. Step 3: Cross multiply
    295,631.80x = 407,971.82 × 159,665.74
  4. Step 4: Simplify right side
    295,631.80x = 65,139,122,539.45
  5. Step 5: Solve for x
    x = 65,139,122,539.45/295,631.80
  6. Step 6: Final answer
    x = 220,338.69

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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.