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Finding the Fourth Proportional to 271,974.68, 407,510.40 and 166,572.08

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Solution

The fourth proportional to 271,974.68, 407,510.40 and 166,572.08 is: 249,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,974.68 : 407,510.40 = 166,572.08 : x
  2. Step 2: Convert to fraction form
    271,974.68/407,510.40 = 166,572.08/x
  3. Step 3: Cross multiply
    271,974.68x = 407,510.40 × 166,572.08
  4. Step 4: Simplify right side
    271,974.68x = 67,879,854,949.63
  5. Step 5: Solve for x
    x = 67,879,854,949.63/271,974.68
  6. Step 6: Final answer
    x = 249,581.52

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