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Finding the Fourth Proportional to 301,663.92, 416,003.22 and 203,762.46

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Solution

The fourth proportional to 301,663.92, 416,003.22 and 203,762.46 is: 280,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,663.92 : 416,003.22 = 203,762.46 : x
  2. Step 2: Convert to fraction form
    301,663.92/416,003.22 = 203,762.46/x
  3. Step 3: Cross multiply
    301,663.92x = 416,003.22 × 203,762.46
  4. Step 4: Simplify right side
    301,663.92x = 84,765,839,475.12
  5. Step 5: Solve for x
    x = 84,765,839,475.12/301,663.92
  6. Step 6: Final answer
    x = 280,994.29

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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.