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Finding the Fourth Proportional to 685,655, 945,889.89 and 444,015.40

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Solution

The fourth proportional to 685,655, 945,889.89 and 444,015.40 is: 612,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,655 : 945,889.89 = 444,015.40 : x
  2. Step 2: Convert to fraction form
    685,655/945,889.89 = 444,015.40/x
  3. Step 3: Cross multiply
    685,655x = 945,889.89 × 444,015.40
  4. Step 4: Simplify right side
    685,655x = 419,989,677,864.31
  5. Step 5: Solve for x
    x = 419,989,677,864.31/685,655
  6. Step 6: Final answer
    x = 612,537.91

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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.