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Finding the Fourth Proportional to 447,083.82, 616,662.95 and 294,073.11

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Solution

The fourth proportional to 447,083.82, 616,662.95 and 294,073.11 is: 405,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,083.82 : 616,662.95 = 294,073.11 : x
  2. Step 2: Convert to fraction form
    447,083.82/616,662.95 = 294,073.11/x
  3. Step 3: Cross multiply
    447,083.82x = 616,662.95 × 294,073.11
  4. Step 4: Simplify right side
    447,083.82x = 181,343,990,057.91
  5. Step 5: Solve for x
    x = 181,343,990,057.91/447,083.82
  6. Step 6: Final answer
    x = 405,615.19

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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.