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Finding the Fourth Proportional to 416,410.37, 574,646.19 and 225,423.62

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Solution

The fourth proportional to 416,410.37, 574,646.19 and 225,423.62 is: 311,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410.37 : 574,646.19 = 225,423.62 : x
  2. Step 2: Convert to fraction form
    416,410.37/574,646.19 = 225,423.62/x
  3. Step 3: Cross multiply
    416,410.37x = 574,646.19 × 225,423.62
  4. Step 4: Simplify right side
    416,410.37x = 129,538,824,369.01
  5. Step 5: Solve for x
    x = 129,538,824,369.01/416,410.37
  6. Step 6: Final answer
    x = 311,084.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.