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Finding the Fourth Proportional to 467,361.36, 700,742.61 and 197,416.17

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Solution

The fourth proportional to 467,361.36, 700,742.61 and 197,416.17 is: 295,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,361.36 : 700,742.61 = 197,416.17 : x
  2. Step 2: Convert to fraction form
    467,361.36/700,742.61 = 197,416.17/x
  3. Step 3: Cross multiply
    467,361.36x = 700,742.61 × 197,416.17
  4. Step 4: Simplify right side
    467,361.36x = 138,337,922,222.00
  5. Step 5: Solve for x
    x = 138,337,922,222.00/467,361.36
  6. Step 6: Final answer
    x = 295,997.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.