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Finding the Fourth Proportional to 598,224, 825,519.96 and 356,501.04

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Solution

The fourth proportional to 598,224, 825,519.96 and 356,501.04 is: 491,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,224 : 825,519.96 = 356,501.04 : x
  2. Step 2: Convert to fraction form
    598,224/825,519.96 = 356,501.04/x
  3. Step 3: Cross multiply
    598,224x = 825,519.96 × 356,501.04
  4. Step 4: Simplify right side
    598,224x = 294,298,724,280.76
  5. Step 5: Solve for x
    x = 294,298,724,280.76/598,224
  6. Step 6: Final answer
    x = 491,954.06

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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.