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Finding the Fourth Proportional to 328,963.08, 493,345.29 and 171,105.42

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Solution

The fourth proportional to 328,963.08, 493,345.29 and 171,105.42 is: 256,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,963.08 : 493,345.29 = 171,105.42 : x
  2. Step 2: Convert to fraction form
    328,963.08/493,345.29 = 171,105.42/x
  3. Step 3: Cross multiply
    328,963.08x = 493,345.29 × 171,105.42
  4. Step 4: Simplify right side
    328,963.08x = 84,414,053,050.47
  5. Step 5: Solve for x
    x = 84,414,053,050.47/328,963.08
  6. Step 6: Final answer
    x = 256,606.46

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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.