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Finding the Fourth Proportional to 416,041.76, 574,137.17 and 225,054.68

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Solution

The fourth proportional to 416,041.76, 574,137.17 and 225,054.68 is: 310,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,041.76 : 574,137.17 = 225,054.68 : x
  2. Step 2: Convert to fraction form
    416,041.76/574,137.17 = 225,054.68/x
  3. Step 3: Cross multiply
    416,041.76x = 574,137.17 × 225,054.68
  4. Step 4: Simplify right side
    416,041.76x = 129,212,255,945.18
  5. Step 5: Solve for x
    x = 129,212,255,945.18/416,041.76
  6. Step 6: Final answer
    x = 310,575.21

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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.