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Finding the Fourth Proportional to 432,160.66, 596,438.13 and 241,213.69

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Solution

The fourth proportional to 432,160.66, 596,438.13 and 241,213.69 is: 332,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,160.66 : 596,438.13 = 241,213.69 : x
  2. Step 2: Convert to fraction form
    432,160.66/596,438.13 = 241,213.69/x
  3. Step 3: Cross multiply
    432,160.66x = 596,438.13 × 241,213.69
  4. Step 4: Simplify right side
    432,160.66x = 143,869,042,194.00
  5. Step 5: Solve for x
    x = 143,869,042,194.00/432,160.66
  6. Step 6: Final answer
    x = 332,906.38

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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.