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Finding the Fourth Proportional to 310,022.10, 427,921.38 and 202,608.81

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Solution

The fourth proportional to 310,022.10, 427,921.38 and 202,608.81 is: 279,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,022.10 : 427,921.38 = 202,608.81 : x
  2. Step 2: Convert to fraction form
    310,022.10/427,921.38 = 202,608.81/x
  3. Step 3: Cross multiply
    310,022.10x = 427,921.38 × 202,608.81
  4. Step 4: Simplify right side
    310,022.10x = 86,700,641,575.36
  5. Step 5: Solve for x
    x = 86,700,641,575.36/310,022.10
  6. Step 6: Final answer
    x = 279,659.55

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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.