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Finding the Fourth Proportional to 598,876.28, 826,399.62 and 340,684.52

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Solution

The fourth proportional to 598,876.28, 826,399.62 and 340,684.52 is: 470,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,876.28 : 826,399.62 = 340,684.52 : x
  2. Step 2: Convert to fraction form
    598,876.28/826,399.62 = 340,684.52/x
  3. Step 3: Cross multiply
    598,876.28x = 826,399.62 × 340,684.52
  4. Step 4: Simplify right side
    598,876.28x = 281,541,556,653.60
  5. Step 5: Solve for x
    x = 281,541,556,653.60/598,876.28
  6. Step 6: Final answer
    x = 470,116.40

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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.