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Finding the Fourth Proportional to 299,693.52, 413,535.24 and 291,629.52

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Solution

The fourth proportional to 299,693.52, 413,535.24 and 291,629.52 is: 402,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.52 : 413,535.24 = 291,629.52 : x
  2. Step 2: Convert to fraction form
    299,693.52/413,535.24 = 291,629.52/x
  3. Step 3: Cross multiply
    299,693.52x = 413,535.24 × 291,629.52
  4. Step 4: Simplify right side
    299,693.52x = 120,599,083,544.29
  5. Step 5: Solve for x
    x = 120,599,083,544.29/299,693.52
  6. Step 6: Final answer
    x = 402,408.05

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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.