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Finding the Fourth Proportional to 298,669.32, 412,163.52 and 164,533.32

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Solution

The fourth proportional to 298,669.32, 412,163.52 and 164,533.32 is: 227,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,669.32 : 412,163.52 = 164,533.32 : x
  2. Step 2: Convert to fraction form
    298,669.32/412,163.52 = 164,533.32/x
  3. Step 3: Cross multiply
    298,669.32x = 412,163.52 × 164,533.32
  4. Step 4: Simplify right side
    298,669.32x = 67,814,632,328.49
  5. Step 5: Solve for x
    x = 67,814,632,328.49/298,669.32
  6. Step 6: Final answer
    x = 227,055.90

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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.