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Finding the Fourth Proportional to 294,162.88, 405,722.36 and 203,670.32

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Solution

The fourth proportional to 294,162.88, 405,722.36 and 203,670.32 is: 280,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,162.88 : 405,722.36 = 203,670.32 : x
  2. Step 2: Convert to fraction form
    294,162.88/405,722.36 = 203,670.32/x
  3. Step 3: Cross multiply
    294,162.88x = 405,722.36 × 203,670.32
  4. Step 4: Simplify right side
    294,162.88x = 82,633,602,892.36
  5. Step 5: Solve for x
    x = 82,633,602,892.36/294,162.88
  6. Step 6: Final answer
    x = 280,911.05

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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.