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Finding the Fourth Proportional to 418,716.86, 577,832.00 and 227,731.64

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Solution

The fourth proportional to 418,716.86, 577,832.00 and 227,731.64 is: 314,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,716.86 : 577,832.00 = 227,731.64 : x
  2. Step 2: Convert to fraction form
    418,716.86/577,832.00 = 227,731.64/x
  3. Step 3: Cross multiply
    418,716.86x = 577,832.00 × 227,731.64
  4. Step 4: Simplify right side
    418,716.86x = 131,590,624,976.66
  5. Step 5: Solve for x
    x = 131,590,624,976.66/418,716.86
  6. Step 6: Final answer
    x = 314,271.14

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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.