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Finding the Fourth Proportional to 598,419.16, 825,891.54 and 343,769.80

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Solution

The fourth proportional to 598,419.16, 825,891.54 and 343,769.80 is: 474,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,419.16 : 825,891.54 = 343,769.80 : x
  2. Step 2: Convert to fraction form
    598,419.16/825,891.54 = 343,769.80/x
  3. Step 3: Cross multiply
    598,419.16x = 825,891.54 × 343,769.80
  4. Step 4: Simplify right side
    598,419.16x = 283,916,569,527.49
  5. Step 5: Solve for x
    x = 283,916,569,527.49/598,419.16
  6. Step 6: Final answer
    x = 474,444.32

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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.