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Finding the Fourth Proportional to 474,145.91, 710,469.81 and 384,963.69

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Solution

The fourth proportional to 474,145.91, 710,469.81 and 384,963.69 is: 576,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,145.91 : 710,469.81 = 384,963.69 : x
  2. Step 2: Convert to fraction form
    474,145.91/710,469.81 = 384,963.69/x
  3. Step 3: Cross multiply
    474,145.91x = 710,469.81 × 384,963.69
  4. Step 4: Simplify right side
    474,145.91x = 273,505,079,691.20
  5. Step 5: Solve for x
    x = 273,505,079,691.20/474,145.91
  6. Step 6: Final answer
    x = 576,837.37

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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.