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Finding the Fourth Proportional to 417,474.16, 576,076.26 and 236,202.64

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Solution

The fourth proportional to 417,474.16, 576,076.26 and 236,202.64 is: 325,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,474.16 : 576,076.26 = 236,202.64 : x
  2. Step 2: Convert to fraction form
    417,474.16/576,076.26 = 236,202.64/x
  3. Step 3: Cross multiply
    417,474.16x = 576,076.26 × 236,202.64
  4. Step 4: Simplify right side
    417,474.16x = 136,070,733,453.33
  5. Step 5: Solve for x
    x = 136,070,733,453.33/417,474.16
  6. Step 6: Final answer
    x = 325,938.10

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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.