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Finding the Fourth Proportional to 641,886.53, 885,265.20 and 412,481.16

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Solution

The fourth proportional to 641,886.53, 885,265.20 and 412,481.16 is: 568,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,886.53 : 885,265.20 = 412,481.16 : x
  2. Step 2: Convert to fraction form
    641,886.53/885,265.20 = 412,481.16/x
  3. Step 3: Cross multiply
    641,886.53x = 885,265.20 × 412,481.16
  4. Step 4: Simplify right side
    641,886.53x = 365,155,216,603.63
  5. Step 5: Solve for x
    x = 365,155,216,603.63/641,886.53
  6. Step 6: Final answer
    x = 568,878.15

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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.