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Finding the Fourth Proportional to 685,640.69, 945,870.10 and 444,001.11

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Solution

The fourth proportional to 685,640.69, 945,870.10 and 444,001.11 is: 612,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,640.69 : 945,870.10 = 444,001.11 : x
  2. Step 2: Convert to fraction form
    685,640.69/945,870.10 = 444,001.11/x
  3. Step 3: Cross multiply
    685,640.69x = 945,870.10 × 444,001.11
  4. Step 4: Simplify right side
    685,640.69x = 419,967,372,095.81
  5. Step 5: Solve for x
    x = 419,967,372,095.81/685,640.69
  6. Step 6: Final answer
    x = 612,518.16

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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.