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Finding the Fourth Proportional to 408,922.74, 564,273.81 and 301,550.58

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Solution

The fourth proportional to 408,922.74, 564,273.81 and 301,550.58 is: 416,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,922.74 : 564,273.81 = 301,550.58 : x
  2. Step 2: Convert to fraction form
    408,922.74/564,273.81 = 301,550.58/x
  3. Step 3: Cross multiply
    408,922.74x = 564,273.81 × 301,550.58
  4. Step 4: Simplify right side
    408,922.74x = 170,157,094,684.31
  5. Step 5: Solve for x
    x = 170,157,094,684.31/408,922.74
  6. Step 6: Final answer
    x = 416,110.62

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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.