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Finding the Fourth Proportional to 310,833.16, 466,249.73 and 205,627.52

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Solution

The fourth proportional to 310,833.16, 466,249.73 and 205,627.52 is: 308,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,833.16 : 466,249.73 = 205,627.52 : x
  2. Step 2: Convert to fraction form
    310,833.16/466,249.73 = 205,627.52/x
  3. Step 3: Cross multiply
    310,833.16x = 466,249.73 × 205,627.52
  4. Step 4: Simplify right side
    310,833.16x = 95,873,776,194.64
  5. Step 5: Solve for x
    x = 95,873,776,194.64/310,833.16
  6. Step 6: Final answer
    x = 308,441.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.