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Finding the Fourth Proportional to 310,777.16, 466,165.73 and 205,571.52

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Solution

The fourth proportional to 310,777.16, 466,165.73 and 205,571.52 is: 308,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,777.16 : 466,165.73 = 205,571.52 : x
  2. Step 2: Convert to fraction form
    310,777.16/466,165.73 = 205,571.52/x
  3. Step 3: Cross multiply
    310,777.16x = 466,165.73 × 205,571.52
  4. Step 4: Simplify right side
    310,777.16x = 95,830,398,201.94
  5. Step 5: Solve for x
    x = 95,830,398,201.94/310,777.16
  6. Step 6: Final answer
    x = 308,357.28

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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.