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Finding the Fourth Proportional to 418,706.84, 577,819.62 and 227,724.44

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Solution

The fourth proportional to 418,706.84, 577,819.62 and 227,724.44 is: 314,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,706.84 : 577,819.62 = 227,724.44 : x
  2. Step 2: Convert to fraction form
    418,706.84/577,819.62 = 227,724.44/x
  3. Step 3: Cross multiply
    418,706.84x = 577,819.62 × 227,724.44
  4. Step 4: Simplify right side
    418,706.84x = 131,583,649,385.51
  5. Step 5: Solve for x
    x = 131,583,649,385.51/418,706.84
  6. Step 6: Final answer
    x = 314,262.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.