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Finding the Fourth Proportional to 412,735.86, 569,657.18 and 267,721.36

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Solution

The fourth proportional to 412,735.86, 569,657.18 and 267,721.36 is: 369,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,735.86 : 569,657.18 = 267,721.36 : x
  2. Step 2: Convert to fraction form
    412,735.86/569,657.18 = 267,721.36/x
  3. Step 3: Cross multiply
    412,735.86x = 569,657.18 × 267,721.36
  4. Step 4: Simplify right side
    412,735.86x = 152,509,394,208.53
  5. Step 5: Solve for x
    x = 152,509,394,208.53/412,735.86
  6. Step 6: Final answer
    x = 369,508.47

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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.