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Finding the Fourth Proportional to 293,577.28, 405,138.72 and 159,441.28

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Solution

The fourth proportional to 293,577.28, 405,138.72 and 159,441.28 is: 220,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,577.28 : 405,138.72 = 159,441.28 : x
  2. Step 2: Convert to fraction form
    293,577.28/405,138.72 = 159,441.28/x
  3. Step 3: Cross multiply
    293,577.28x = 405,138.72 × 159,441.28
  4. Step 4: Simplify right side
    293,577.28x = 64,595,836,094.36
  5. Step 5: Solve for x
    x = 64,595,836,094.36/293,577.28
  6. Step 6: Final answer
    x = 220,030.09

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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.