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Finding the Fourth Proportional to 457,572.85, 631,473.84 and 263,908.54

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Solution

The fourth proportional to 457,572.85, 631,473.84 and 263,908.54 is: 364,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,572.85 : 631,473.84 = 263,908.54 : x
  2. Step 2: Convert to fraction form
    457,572.85/631,473.84 = 263,908.54/x
  3. Step 3: Cross multiply
    457,572.85x = 631,473.84 × 263,908.54
  4. Step 4: Simplify right side
    457,572.85x = 166,651,339,162.59
  5. Step 5: Solve for x
    x = 166,651,339,162.59/457,572.85
  6. Step 6: Final answer
    x = 364,207.23

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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.