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Finding the Fourth Proportional to 479,708.41, 719,431.26 and 180,165.82

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Solution

The fourth proportional to 479,708.41, 719,431.26 and 180,165.82 is: 270,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,708.41 : 719,431.26 = 180,165.82 : x
  2. Step 2: Convert to fraction form
    479,708.41/719,431.26 = 180,165.82/x
  3. Step 3: Cross multiply
    479,708.41x = 719,431.26 × 180,165.82
  4. Step 4: Simplify right side
    479,708.41x = 129,616,922,891.53
  5. Step 5: Solve for x
    x = 129,616,922,891.53/479,708.41
  6. Step 6: Final answer
    x = 270,199.40

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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.