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Finding the Fourth Proportional to 416,109.63, 574,819.16 and 331,117.95

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Solution

The fourth proportional to 416,109.63, 574,819.16 and 331,117.95 is: 457,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,109.63 : 574,819.16 = 331,117.95 : x
  2. Step 2: Convert to fraction form
    416,109.63/574,819.16 = 331,117.95/x
  3. Step 3: Cross multiply
    416,109.63x = 574,819.16 × 331,117.95
  4. Step 4: Simplify right side
    416,109.63x = 190,332,940,224.33
  5. Step 5: Solve for x
    x = 190,332,940,224.33/416,109.63
  6. Step 6: Final answer
    x = 457,410.56

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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.