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Finding the Fourth Proportional to 416,104, 574,301.40 and 237,256

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Solution

The fourth proportional to 416,104, 574,301.40 and 237,256 is: 327,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,104 : 574,301.40 = 237,256 : x
  2. Step 2: Convert to fraction form
    416,104/574,301.40 = 237,256/x
  3. Step 3: Cross multiply
    416,104x = 574,301.40 × 237,256
  4. Step 4: Simplify right side
    416,104x = 136,256,452,958.40
  5. Step 5: Solve for x
    x = 136,256,452,958.40/416,104
  6. Step 6: Final answer
    x = 327,457.69

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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.