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Finding the Fourth Proportional to 599,341.81, 827,288.81 and 477,058.50

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Solution

The fourth proportional to 599,341.81, 827,288.81 and 477,058.50 is: 658,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,341.81 : 827,288.81 = 477,058.50 : x
  2. Step 2: Convert to fraction form
    599,341.81/827,288.81 = 477,058.50/x
  3. Step 3: Cross multiply
    599,341.81x = 827,288.81 × 477,058.50
  4. Step 4: Simplify right side
    599,341.81x = 394,665,156,380.09
  5. Step 5: Solve for x
    x = 394,665,156,380.09/599,341.81
  6. Step 6: Final answer
    x = 658,497.62

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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.