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Finding the Fourth Proportional to 325,251.50, 448,825.32 and 180,047.42

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Solution

The fourth proportional to 325,251.50, 448,825.32 and 180,047.42 is: 248,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,251.50 : 448,825.32 = 180,047.42 : x
  2. Step 2: Convert to fraction form
    325,251.50/448,825.32 = 180,047.42/x
  3. Step 3: Cross multiply
    325,251.50x = 448,825.32 × 180,047.42
  4. Step 4: Simplify right side
    325,251.50x = 80,809,840,896.67
  5. Step 5: Solve for x
    x = 80,809,840,896.67/325,251.50
  6. Step 6: Final answer
    x = 248,453.40

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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.