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Finding the Fourth Proportional to 295,934.72, 408,342.24 and 168,612.80

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Solution

The fourth proportional to 295,934.72, 408,342.24 and 168,612.80 is: 232,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,934.72 : 408,342.24 = 168,612.80 : x
  2. Step 2: Convert to fraction form
    295,934.72/408,342.24 = 168,612.80/x
  3. Step 3: Cross multiply
    295,934.72x = 408,342.24 × 168,612.80
  4. Step 4: Simplify right side
    295,934.72x = 68,851,728,444.67
  5. Step 5: Solve for x
    x = 68,851,728,444.67/295,934.72
  6. Step 6: Final answer
    x = 232,658.50

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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.