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Finding the Fourth Proportional to 457,859.91, 632,143.13 and 294,589.43

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Solution

The fourth proportional to 457,859.91, 632,143.13 and 294,589.43 is: 406,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,859.91 : 632,143.13 = 294,589.43 : x
  2. Step 2: Convert to fraction form
    457,859.91/632,143.13 = 294,589.43/x
  3. Step 3: Cross multiply
    457,859.91x = 632,143.13 × 294,589.43
  4. Step 4: Simplify right side
    457,859.91x = 186,222,684,345.12
  5. Step 5: Solve for x
    x = 186,222,684,345.12/457,859.91
  6. Step 6: Final answer
    x = 406,724.15

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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.