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Finding the Fourth Proportional to 222,509.92, 331,780 and 197,782.24

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Solution

The fourth proportional to 222,509.92, 331,780 and 197,782.24 is: 294,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,509.92 : 331,780 = 197,782.24 : x
  2. Step 2: Convert to fraction form
    222,509.92/331,780 = 197,782.24/x
  3. Step 3: Cross multiply
    222,509.92x = 331,780 × 197,782.24
  4. Step 4: Simplify right side
    222,509.92x = 65,620,191,587.20
  5. Step 5: Solve for x
    x = 65,620,191,587.20/222,509.92
  6. Step 6: Final answer
    x = 294,909.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.