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Finding the Fourth Proportional to 446,018.69, 616,016.61 and 293,737.58

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Solution

The fourth proportional to 446,018.69, 616,016.61 and 293,737.58 is: 405,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,018.69 : 616,016.61 = 293,737.58 : x
  2. Step 2: Convert to fraction form
    446,018.69/616,016.61 = 293,737.58/x
  3. Step 3: Cross multiply
    446,018.69x = 616,016.61 × 293,737.58
  4. Step 4: Simplify right side
    446,018.69x = 180,947,228,261.20
  5. Step 5: Solve for x
    x = 180,947,228,261.20/446,018.69
  6. Step 6: Final answer
    x = 405,694.27

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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.