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Finding the Fourth Proportional to 418,589.46, 577,650.60 and 227,602.98

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Solution

The fourth proportional to 418,589.46, 577,650.60 and 227,602.98 is: 314,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,589.46 : 577,650.60 = 227,602.98 : x
  2. Step 2: Convert to fraction form
    418,589.46/577,650.60 = 227,602.98/x
  3. Step 3: Cross multiply
    418,589.46x = 577,650.60 × 227,602.98
  4. Step 4: Simplify right side
    418,589.46x = 131,474,997,958.79
  5. Step 5: Solve for x
    x = 131,474,997,958.79/418,589.46
  6. Step 6: Final answer
    x = 314,090.56

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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.