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Finding the Fourth Proportional to 253,076.96, 349,299.60 and 210,594.08

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Solution

The fourth proportional to 253,076.96, 349,299.60 and 210,594.08 is: 290,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,076.96 : 349,299.60 = 210,594.08 : x
  2. Step 2: Convert to fraction form
    253,076.96/349,299.60 = 210,594.08/x
  3. Step 3: Cross multiply
    253,076.96x = 349,299.60 × 210,594.08
  4. Step 4: Simplify right side
    253,076.96x = 73,560,427,906.37
  5. Step 5: Solve for x
    x = 73,560,427,906.37/253,076.96
  6. Step 6: Final answer
    x = 290,664.26

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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.