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Finding the Fourth Proportional to 302,243.94, 414,444.24 and 294,370.74

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Solution

The fourth proportional to 302,243.94, 414,444.24 and 294,370.74 is: 403,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,243.94 : 414,444.24 = 294,370.74 : x
  2. Step 2: Convert to fraction form
    302,243.94/414,444.24 = 294,370.74/x
  3. Step 3: Cross multiply
    302,243.94x = 414,444.24 × 294,370.74
  4. Step 4: Simplify right side
    302,243.94x = 122,000,257,617.54
  5. Step 5: Solve for x
    x = 122,000,257,617.54/302,243.94
  6. Step 6: Final answer
    x = 403,648.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.