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Finding the Fourth Proportional to 301,764.48, 416,471.19 and 180,972.22

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Solution

The fourth proportional to 301,764.48, 416,471.19 and 180,972.22 is: 249,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,764.48 : 416,471.19 = 180,972.22 : x
  2. Step 2: Convert to fraction form
    301,764.48/416,471.19 = 180,972.22/x
  3. Step 3: Cross multiply
    301,764.48x = 416,471.19 × 180,972.22
  4. Step 4: Simplify right side
    301,764.48x = 75,369,712,833.12
  5. Step 5: Solve for x
    x = 75,369,712,833.12/301,764.48
  6. Step 6: Final answer
    x = 249,763.37

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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.