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Finding the Fourth Proportional to 301,446.98, 416,040.10 and 180,593.36

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Solution

The fourth proportional to 301,446.98, 416,040.10 and 180,593.36 is: 249,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446.98 : 416,040.10 = 180,593.36 : x
  2. Step 2: Convert to fraction form
    301,446.98/416,040.10 = 180,593.36/x
  3. Step 3: Cross multiply
    301,446.98x = 416,040.10 × 180,593.36
  4. Step 4: Simplify right side
    301,446.98x = 75,134,079,553.74
  5. Step 5: Solve for x
    x = 75,134,079,553.74/301,446.98
  6. Step 6: Final answer
    x = 249,244.76

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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.