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Finding the Fourth Proportional to 299,856.98, 413,534.66 and 248,788.82

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Solution

The fourth proportional to 299,856.98, 413,534.66 and 248,788.82 is: 343,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,856.98 : 413,534.66 = 248,788.82 : x
  2. Step 2: Convert to fraction form
    299,856.98/413,534.66 = 248,788.82/x
  3. Step 3: Cross multiply
    299,856.98x = 413,534.66 × 248,788.82
  4. Step 4: Simplify right side
    299,856.98x = 102,882,798,644.80
  5. Step 5: Solve for x
    x = 102,882,798,644.80/299,856.98
  6. Step 6: Final answer
    x = 343,106.24

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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.