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Finding the Fourth Proportional to 599,341.77, 827,116.83 and 344,693.16

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Solution

The fourth proportional to 599,341.77, 827,116.83 and 344,693.16 is: 475,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,341.77 : 827,116.83 = 344,693.16 : x
  2. Step 2: Convert to fraction form
    599,341.77/827,116.83 = 344,693.16/x
  3. Step 3: Cross multiply
    599,341.77x = 827,116.83 × 344,693.16
  4. Step 4: Simplify right side
    599,341.77x = 285,101,513,821.88
  5. Step 5: Solve for x
    x = 285,101,513,821.88/599,341.77
  6. Step 6: Final answer
    x = 475,691.05

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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.