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Finding the Fourth Proportional to 301,850.27, 416,462.44 and 180,947.44

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Solution

The fourth proportional to 301,850.27, 416,462.44 and 180,947.44 is: 249,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,850.27 : 416,462.44 = 180,947.44 : x
  2. Step 2: Convert to fraction form
    301,850.27/416,462.44 = 180,947.44/x
  3. Step 3: Cross multiply
    301,850.27x = 416,462.44 × 180,947.44
  4. Step 4: Simplify right side
    301,850.27x = 75,357,813,444.03
  5. Step 5: Solve for x
    x = 75,357,813,444.03/301,850.27
  6. Step 6: Final answer
    x = 249,652.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.