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Finding the Fourth Proportional to 446,377.10, 616,098.47 and 293,429.42

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Solution

The fourth proportional to 446,377.10, 616,098.47 and 293,429.42 is: 404,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,377.10 : 616,098.47 = 293,429.42 : x
  2. Step 2: Convert to fraction form
    446,377.10/616,098.47 = 293,429.42/x
  3. Step 3: Cross multiply
    446,377.10x = 616,098.47 × 293,429.42
  4. Step 4: Simplify right side
    446,377.10x = 180,781,413,634.50
  5. Step 5: Solve for x
    x = 180,781,413,634.50/446,377.10
  6. Step 6: Final answer
    x = 404,997.07

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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.