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Finding the Fourth Proportional to 418,981.10, 578,194.05 and 227,990.38

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Solution

The fourth proportional to 418,981.10, 578,194.05 and 227,990.38 is: 314,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,981.10 : 578,194.05 = 227,990.38 : x
  2. Step 2: Convert to fraction form
    418,981.10/578,194.05 = 227,990.38/x
  3. Step 3: Cross multiply
    418,981.10x = 578,194.05 × 227,990.38
  4. Step 4: Simplify right side
    418,981.10x = 131,822,681,173.24
  5. Step 5: Solve for x
    x = 131,822,681,173.24/418,981.10
  6. Step 6: Final answer
    x = 314,626.80

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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.