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Finding the Fourth Proportional to 713,848.78, 985,111.26 and 412,042.78

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Solution

The fourth proportional to 713,848.78, 985,111.26 and 412,042.78 is: 568,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,848.78 : 985,111.26 = 412,042.78 : x
  2. Step 2: Convert to fraction form
    713,848.78/985,111.26 = 412,042.78/x
  3. Step 3: Cross multiply
    713,848.78x = 985,111.26 × 412,042.78
  4. Step 4: Simplify right side
    713,848.78x = 405,907,982,179.70
  5. Step 5: Solve for x
    x = 405,907,982,179.70/713,848.78
  6. Step 6: Final answer
    x = 568,619.00

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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.