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Finding the Fourth Proportional to 294,096.86, 405,529.48 and 203,295.19

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Solution

The fourth proportional to 294,096.86, 405,529.48 and 203,295.19 is: 280,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,096.86 : 405,529.48 = 203,295.19 : x
  2. Step 2: Convert to fraction form
    294,096.86/405,529.48 = 203,295.19/x
  3. Step 3: Cross multiply
    294,096.86x = 405,529.48 × 203,295.19
  4. Step 4: Simplify right side
    294,096.86x = 82,442,189,643.08
  5. Step 5: Solve for x
    x = 82,442,189,643.08/294,096.86
  6. Step 6: Final answer
    x = 280,323.26

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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.