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Finding the Fourth Proportional to 301,786.31, 416,501.33 and 180,994.04

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Solution

The fourth proportional to 301,786.31, 416,501.33 and 180,994.04 is: 249,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,786.31 : 416,501.33 = 180,994.04 : x
  2. Step 2: Convert to fraction form
    301,786.31/416,501.33 = 180,994.04/x
  3. Step 3: Cross multiply
    301,786.31x = 416,501.33 × 180,994.04
  4. Step 4: Simplify right side
    301,786.31x = 75,384,257,477.10
  5. Step 5: Solve for x
    x = 75,384,257,477.10/301,786.31
  6. Step 6: Final answer
    x = 249,793.50

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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.