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Finding the Fourth Proportional to 417,897.09, 576,700.16 and 226,910.43

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Solution

The fourth proportional to 417,897.09, 576,700.16 and 226,910.43 is: 313,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,897.09 : 576,700.16 = 226,910.43 : x
  2. Step 2: Convert to fraction form
    417,897.09/576,700.16 = 226,910.43/x
  3. Step 3: Cross multiply
    417,897.09x = 576,700.16 × 226,910.43
  4. Step 4: Simplify right side
    417,897.09x = 130,859,280,152.12
  5. Step 5: Solve for x
    x = 130,859,280,152.12/417,897.09
  6. Step 6: Final answer
    x = 313,137.57

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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.