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Finding the Fourth Proportional to 825,053, 1,237,580.48 and 226,019.30

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Solution

The fourth proportional to 825,053, 1,237,580.48 and 226,019.30 is: 339,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,053 : 1,237,580.48 = 226,019.30 : x
  2. Step 2: Convert to fraction form
    825,053/1,237,580.48 = 226,019.30/x
  3. Step 3: Cross multiply
    825,053x = 1,237,580.48 × 226,019.30
  4. Step 4: Simplify right side
    825,053x = 279,717,073,783.26
  5. Step 5: Solve for x
    x = 279,717,073,783.26/825,053
  6. Step 6: Final answer
    x = 339,029.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.