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Finding the Fourth Proportional to 412,657.92, 569,716.32 and 269,657.28

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Solution

The fourth proportional to 412,657.92, 569,716.32 and 269,657.28 is: 372,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,657.92 : 569,716.32 = 269,657.28 : x
  2. Step 2: Convert to fraction form
    412,657.92/569,716.32 = 269,657.28/x
  3. Step 3: Cross multiply
    412,657.92x = 569,716.32 × 269,657.28
  4. Step 4: Simplify right side
    412,657.92x = 153,628,153,222.81
  5. Step 5: Solve for x
    x = 153,628,153,222.81/412,657.92
  6. Step 6: Final answer
    x = 372,289.36

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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.