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Finding the Fourth Proportional to 599,135.67, 826,812.86 and 340,999.97

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Solution

The fourth proportional to 599,135.67, 826,812.86 and 340,999.97 is: 470,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,135.67 : 826,812.86 = 340,999.97 : x
  2. Step 2: Convert to fraction form
    599,135.67/826,812.86 = 340,999.97/x
  3. Step 3: Cross multiply
    599,135.67x = 826,812.86 × 340,999.97
  4. Step 4: Simplify right side
    599,135.67x = 281,943,154,616.55
  5. Step 5: Solve for x
    x = 281,943,154,616.55/599,135.67
  6. Step 6: Final answer
    x = 470,583.16

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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.