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Finding the Fourth Proportional to 685,915.74, 946,249.20 and 444,276

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Solution

The fourth proportional to 685,915.74, 946,249.20 and 444,276 is: 612,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,915.74 : 946,249.20 = 444,276 : x
  2. Step 2: Convert to fraction form
    685,915.74/946,249.20 = 444,276/x
  3. Step 3: Cross multiply
    685,915.74x = 946,249.20 × 444,276
  4. Step 4: Simplify right side
    685,915.74x = 420,395,809,579.20
  5. Step 5: Solve for x
    x = 420,395,809,579.20/685,915.74
  6. Step 6: Final answer
    x = 612,897.16

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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.