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Finding the Fourth Proportional to 403,743.53, 605,615.22 and 119,411.92

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Solution

The fourth proportional to 403,743.53, 605,615.22 and 119,411.92 is: 179,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,743.53 : 605,615.22 = 119,411.92 : x
  2. Step 2: Convert to fraction form
    403,743.53/605,615.22 = 119,411.92/x
  3. Step 3: Cross multiply
    403,743.53x = 605,615.22 × 119,411.92
  4. Step 4: Simplify right side
    403,743.53x = 72,317,676,958.44
  5. Step 5: Solve for x
    x = 72,317,676,958.44/403,743.53
  6. Step 6: Final answer
    x = 179,117.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.