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Finding the Fourth Proportional to 494,030.24, 741,060.48 and 342,078.56

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Solution

The fourth proportional to 494,030.24, 741,060.48 and 342,078.56 is: 513,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,030.24 : 741,060.48 = 342,078.56 : x
  2. Step 2: Convert to fraction form
    494,030.24/741,060.48 = 342,078.56/x
  3. Step 3: Cross multiply
    494,030.24x = 741,060.48 × 342,078.56
  4. Step 4: Simplify right side
    494,030.24x = 253,500,901,871.31
  5. Step 5: Solve for x
    x = 253,500,901,871.31/494,030.24
  6. Step 6: Final answer
    x = 513,128.31

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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.