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Finding the Fourth Proportional to 298,741.76, 447,374.70 and 222,657.80

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Solution

The fourth proportional to 298,741.76, 447,374.70 and 222,657.80 is: 333,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,741.76 : 447,374.70 = 222,657.80 : x
  2. Step 2: Convert to fraction form
    298,741.76/447,374.70 = 222,657.80/x
  3. Step 3: Cross multiply
    298,741.76x = 447,374.70 × 222,657.80
  4. Step 4: Simplify right side
    298,741.76x = 99,611,466,477.66
  5. Step 5: Solve for x
    x = 99,611,466,477.66/298,741.76
  6. Step 6: Final answer
    x = 333,436.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.