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Finding the Fourth Proportional to 428,212.42, 642,117.44 and 248,348.94

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Solution

The fourth proportional to 428,212.42, 642,117.44 and 248,348.94 is: 372,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,212.42 : 642,117.44 = 248,348.94 : x
  2. Step 2: Convert to fraction form
    428,212.42/642,117.44 = 248,348.94/x
  3. Step 3: Cross multiply
    428,212.42x = 642,117.44 × 248,348.94
  4. Step 4: Simplify right side
    428,212.42x = 159,469,185,579.51
  5. Step 5: Solve for x
    x = 159,469,185,579.51/428,212.42
  6. Step 6: Final answer
    x = 372,406.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.