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Finding the Fourth Proportional to 413,852.16, 620,737.92 and 133,570.56

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Solution

The fourth proportional to 413,852.16, 620,737.92 and 133,570.56 is: 200,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,852.16 : 620,737.92 = 133,570.56 : x
  2. Step 2: Convert to fraction form
    413,852.16/620,737.92 = 133,570.56/x
  3. Step 3: Cross multiply
    413,852.16x = 620,737.92 × 133,570.56
  4. Step 4: Simplify right side
    413,852.16x = 82,912,311,587.64
  5. Step 5: Solve for x
    x = 82,912,311,587.64/413,852.16
  6. Step 6: Final answer
    x = 200,342.83

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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.