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Finding the Fourth Proportional to 232,941.43, 349,419.91 and 64,447.64

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Solution

The fourth proportional to 232,941.43, 349,419.91 and 64,447.64 is: 96,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,941.43 : 349,419.91 = 64,447.64 : x
  2. Step 2: Convert to fraction form
    232,941.43/349,419.91 = 64,447.64/x
  3. Step 3: Cross multiply
    232,941.43x = 349,419.91 × 64,447.64
  4. Step 4: Simplify right side
    232,941.43x = 22,519,288,568.51
  5. Step 5: Solve for x
    x = 22,519,288,568.51/232,941.43
  6. Step 6: Final answer
    x = 96,673.61

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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.