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Finding the Fourth Proportional to 446,999.12, 616,866.49 and 243,051.42

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Solution

The fourth proportional to 446,999.12, 616,866.49 and 243,051.42 is: 335,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,999.12 : 616,866.49 = 243,051.42 : x
  2. Step 2: Convert to fraction form
    446,999.12/616,866.49 = 243,051.42/x
  3. Step 3: Cross multiply
    446,999.12x = 616,866.49 × 243,051.42
  4. Step 4: Simplify right side
    446,999.12x = 149,930,274,124.94
  5. Step 5: Solve for x
    x = 149,930,274,124.94/446,999.12
  6. Step 6: Final answer
    x = 335,415.14

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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.