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Finding the Fourth Proportional to 257,057.79, 354,689.34 and 161,509.13

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Solution

The fourth proportional to 257,057.79, 354,689.34 and 161,509.13 is: 222,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,057.79 : 354,689.34 = 161,509.13 : x
  2. Step 2: Convert to fraction form
    257,057.79/354,689.34 = 161,509.13/x
  3. Step 3: Cross multiply
    257,057.79x = 354,689.34 × 161,509.13
  4. Step 4: Simplify right side
    257,057.79x = 57,285,566,723.67
  5. Step 5: Solve for x
    x = 57,285,566,723.67/257,057.79
  6. Step 6: Final answer
    x = 222,850.93

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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.