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Finding the Fourth Proportional to 432,770.62, 597,212.46 and 241,785.46

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Solution

The fourth proportional to 432,770.62, 597,212.46 and 241,785.46 is: 333,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,770.62 : 597,212.46 = 241,785.46 : x
  2. Step 2: Convert to fraction form
    432,770.62/597,212.46 = 241,785.46/x
  3. Step 3: Cross multiply
    432,770.62x = 597,212.46 × 241,785.46
  4. Step 4: Simplify right side
    432,770.62x = 144,397,289,358.83
  5. Step 5: Solve for x
    x = 144,397,289,358.83/432,770.62
  6. Step 6: Final answer
    x = 333,657.79

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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.