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Finding the Fourth Proportional to 418,174.34, 577,044.77 and 231,911.80

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Solution

The fourth proportional to 418,174.34, 577,044.77 and 231,911.80 is: 320,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,174.34 : 577,044.77 = 231,911.80 : x
  2. Step 2: Convert to fraction form
    418,174.34/577,044.77 = 231,911.80/x
  3. Step 3: Cross multiply
    418,174.34x = 577,044.77 × 231,911.80
  4. Step 4: Simplify right side
    418,174.34x = 133,823,488,689.12
  5. Step 5: Solve for x
    x = 133,823,488,689.12/418,174.34
  6. Step 6: Final answer
    x = 320,018.42

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1.5x scale

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.