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Finding the Fourth Proportional to 416,407.92, 574,644.77 and 225,421.30

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Solution

The fourth proportional to 416,407.92, 574,644.77 and 225,421.30 is: 311,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.92 : 574,644.77 = 225,421.30 : x
  2. Step 2: Convert to fraction form
    416,407.92/574,644.77 = 225,421.30/x
  3. Step 3: Cross multiply
    416,407.92x = 574,644.77 × 225,421.30
  4. Step 4: Simplify right side
    416,407.92x = 129,537,171,091.60
  5. Step 5: Solve for x
    x = 129,537,171,091.60/416,407.92
  6. Step 6: Final answer
    x = 311,082.39

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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.