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Finding the Fourth Proportional to 293,044.11, 404,013.21 and 211,303.98

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Solution

The fourth proportional to 293,044.11, 404,013.21 and 211,303.98 is: 291,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,044.11 : 404,013.21 = 211,303.98 : x
  2. Step 2: Convert to fraction form
    293,044.11/404,013.21 = 211,303.98/x
  3. Step 3: Cross multiply
    293,044.11x = 404,013.21 × 211,303.98
  4. Step 4: Simplify right side
    293,044.11x = 85,369,599,245.58
  5. Step 5: Solve for x
    x = 85,369,599,245.58/293,044.11
  6. Step 6: Final answer
    x = 291,319.96

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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.