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Finding the Fourth Proportional to 806,181, 1,202,812.87 and 643,316.48

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Solution

The fourth proportional to 806,181, 1,202,812.87 and 643,316.48 is: 959,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,181 : 1,202,812.87 = 643,316.48 : x
  2. Step 2: Convert to fraction form
    806,181/1,202,812.87 = 643,316.48/x
  3. Step 3: Cross multiply
    806,181x = 1,202,812.87 × 643,316.48
  4. Step 4: Simplify right side
    806,181x = 773,789,341,627.10
  5. Step 5: Solve for x
    x = 773,789,341,627.10/806,181
  6. Step 6: Final answer
    x = 959,820.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.