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Finding the Fourth Proportional to 446,842.78, 616,648.80 and 242,896.66

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Solution

The fourth proportional to 446,842.78, 616,648.80 and 242,896.66 is: 335,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,842.78 : 616,648.80 = 242,896.66 : x
  2. Step 2: Convert to fraction form
    446,842.78/616,648.80 = 242,896.66/x
  3. Step 3: Cross multiply
    446,842.78x = 616,648.80 × 242,896.66
  4. Step 4: Simplify right side
    446,842.78x = 149,781,933,913.01
  5. Step 5: Solve for x
    x = 149,781,933,913.01/446,842.78
  6. Step 6: Final answer
    x = 335,200.52

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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.