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Finding the Fourth Proportional to 293,563.28, 405,119.40 and 159,427.28

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Solution

The fourth proportional to 293,563.28, 405,119.40 and 159,427.28 is: 220,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,563.28 : 405,119.40 = 159,427.28 : x
  2. Step 2: Convert to fraction form
    293,563.28/405,119.40 = 159,427.28/x
  3. Step 3: Cross multiply
    293,563.28x = 405,119.40 × 159,427.28
  4. Step 4: Simplify right side
    293,563.28x = 64,587,084,017.23
  5. Step 5: Solve for x
    x = 64,587,084,017.23/293,563.28
  6. Step 6: Final answer
    x = 220,010.77

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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.