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Finding the Fourth Proportional to 295,665, 407,538.54 and 231,021.24

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Solution

The fourth proportional to 295,665, 407,538.54 and 231,021.24 is: 318,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,665 : 407,538.54 = 231,021.24 : x
  2. Step 2: Convert to fraction form
    295,665/407,538.54 = 231,021.24/x
  3. Step 3: Cross multiply
    295,665x = 407,538.54 × 231,021.24
  4. Step 4: Simplify right side
    295,665x = 94,150,058,858.59
  5. Step 5: Solve for x
    x = 94,150,058,858.59/295,665
  6. Step 6: Final answer
    x = 318,434.91

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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.