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Finding the Fourth Proportional to 360,890.32, 498,022.60 and 199,741.93

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Solution

The fourth proportional to 360,890.32, 498,022.60 and 199,741.93 is: 275,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,890.32 : 498,022.60 = 199,741.93 : x
  2. Step 2: Convert to fraction form
    360,890.32/498,022.60 = 199,741.93/x
  3. Step 3: Cross multiply
    360,890.32x = 498,022.60 × 199,741.93
  4. Step 4: Simplify right side
    360,890.32x = 99,475,995,307.62
  5. Step 5: Solve for x
    x = 99,475,995,307.62/360,890.32
  6. Step 6: Final answer
    x = 275,640.52

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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.