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Finding the Fourth Proportional to 432,772.14, 597,214.53 and 241,786.95

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Solution

The fourth proportional to 432,772.14, 597,214.53 and 241,786.95 is: 333,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,772.14 : 597,214.53 = 241,786.95 : x
  2. Step 2: Convert to fraction form
    432,772.14/597,214.53 = 241,786.95/x
  3. Step 3: Cross multiply
    432,772.14x = 597,214.53 × 241,786.95
  4. Step 4: Simplify right side
    432,772.14x = 144,398,679,704.38
  5. Step 5: Solve for x
    x = 144,398,679,704.38/432,772.14
  6. Step 6: Final answer
    x = 333,659.83

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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.