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Finding the Fourth Proportional to 310,178.58, 428,093.55 and 189,390.30

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Solution

The fourth proportional to 310,178.58, 428,093.55 and 189,390.30 is: 261,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,178.58 : 428,093.55 = 189,390.30 : x
  2. Step 2: Convert to fraction form
    310,178.58/428,093.55 = 189,390.30/x
  3. Step 3: Cross multiply
    310,178.58x = 428,093.55 × 189,390.30
  4. Step 4: Simplify right side
    310,178.58x = 81,076,765,862.57
  5. Step 5: Solve for x
    x = 81,076,765,862.57/310,178.58
  6. Step 6: Final answer
    x = 261,387.38

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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.