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Finding the Fourth Proportional to 630,274.76, 945,268.14 and 180,992.06

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Solution

The fourth proportional to 630,274.76, 945,268.14 and 180,992.06 is: 271,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,274.76 : 945,268.14 = 180,992.06 : x
  2. Step 2: Convert to fraction form
    630,274.76/945,268.14 = 180,992.06/x
  3. Step 3: Cross multiply
    630,274.76x = 945,268.14 × 180,992.06
  4. Step 4: Simplify right side
    630,274.76x = 171,086,027,910.97
  5. Step 5: Solve for x
    x = 171,086,027,910.97/630,274.76
  6. Step 6: Final answer
    x = 271,446.74

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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.