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Finding the Fourth Proportional to 418,461.44, 577,464.64 and 227,469.92

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Solution

The fourth proportional to 418,461.44, 577,464.64 and 227,469.92 is: 313,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,461.44 : 577,464.64 = 227,469.92 : x
  2. Step 2: Convert to fraction form
    418,461.44/577,464.64 = 227,469.92/x
  3. Step 3: Cross multiply
    418,461.44x = 577,464.64 × 227,469.92
  4. Step 4: Simplify right side
    418,461.44x = 131,355,835,463.63
  5. Step 5: Solve for x
    x = 131,355,835,463.63/418,461.44
  6. Step 6: Final answer
    x = 313,901.89

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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.