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Finding the Fourth Proportional to 418,705.84, 577,818.24 and 227,723.44

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Solution

The fourth proportional to 418,705.84, 577,818.24 and 227,723.44 is: 314,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,705.84 : 577,818.24 = 227,723.44 : x
  2. Step 2: Convert to fraction form
    418,705.84/577,818.24 = 227,723.44/x
  3. Step 3: Cross multiply
    418,705.84x = 577,818.24 × 227,723.44
  4. Step 4: Simplify right side
    418,705.84x = 131,582,757,307.55
  5. Step 5: Solve for x
    x = 131,582,757,307.55/418,705.84
  6. Step 6: Final answer
    x = 314,260.62

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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.