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Finding the Fourth Proportional to 310,777.32, 428,860.26 and 174,813.96

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Solution

The fourth proportional to 310,777.32, 428,860.26 and 174,813.96 is: 241,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,777.32 : 428,860.26 = 174,813.96 : x
  2. Step 2: Convert to fraction form
    310,777.32/428,860.26 = 174,813.96/x
  3. Step 3: Cross multiply
    310,777.32x = 428,860.26 × 174,813.96
  4. Step 4: Simplify right side
    310,777.32x = 74,970,760,337.23
  5. Step 5: Solve for x
    x = 74,970,760,337.23/310,777.32
  6. Step 6: Final answer
    x = 241,236.27

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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.