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Finding the Fourth Proportional to 418,467.24, 577,472.64 and 237,195.88

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Solution

The fourth proportional to 418,467.24, 577,472.64 and 237,195.88 is: 327,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,467.24 : 577,472.64 = 237,195.88 : x
  2. Step 2: Convert to fraction form
    418,467.24/577,472.64 = 237,195.88/x
  3. Step 3: Cross multiply
    418,467.24x = 577,472.64 × 237,195.88
  4. Step 4: Simplify right side
    418,467.24x = 136,974,131,020.72
  5. Step 5: Solve for x
    x = 136,974,131,020.72/418,467.24
  6. Step 6: Final answer
    x = 327,323.43

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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.