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Finding the Fourth Proportional to 598,806.24, 826,331.76 and 356,964

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Solution

The fourth proportional to 598,806.24, 826,331.76 and 356,964 is: 492,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,806.24 : 826,331.76 = 356,964 : x
  2. Step 2: Convert to fraction form
    598,806.24/826,331.76 = 356,964/x
  3. Step 3: Cross multiply
    598,806.24x = 826,331.76 × 356,964
  4. Step 4: Simplify right side
    598,806.24x = 294,970,690,376.64
  5. Step 5: Solve for x
    x = 294,970,690,376.64/598,806.24
  6. Step 6: Final answer
    x = 492,597.89

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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.