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Finding the Fourth Proportional to 416,461.56, 574,718.40 and 225,475.80

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Solution

The fourth proportional to 416,461.56, 574,718.40 and 225,475.80 is: 311,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,461.56 : 574,718.40 = 225,475.80 : x
  2. Step 2: Convert to fraction form
    416,461.56/574,718.40 = 225,475.80/x
  3. Step 3: Cross multiply
    416,461.56x = 574,718.40 × 225,475.80
  4. Step 4: Simplify right side
    416,461.56x = 129,585,091,014.72
  5. Step 5: Solve for x
    x = 129,585,091,014.72/416,461.56
  6. Step 6: Final answer
    x = 311,157.39

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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.