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Finding the Fourth Proportional to 434,735.76, 652,105.96 and 197,912.88

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Solution

The fourth proportional to 434,735.76, 652,105.96 and 197,912.88 is: 296,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,735.76 : 652,105.96 = 197,912.88 : x
  2. Step 2: Convert to fraction form
    434,735.76/652,105.96 = 197,912.88/x
  3. Step 3: Cross multiply
    434,735.76x = 652,105.96 × 197,912.88
  4. Step 4: Simplify right side
    434,735.76x = 129,060,168,608.77
  5. Step 5: Solve for x
    x = 129,060,168,608.77/434,735.76
  6. Step 6: Final answer
    x = 296,870.38

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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.