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Finding the Fourth Proportional to 407,435.70, 562,234.74 and 226,138.92

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Solution

The fourth proportional to 407,435.70, 562,234.74 and 226,138.92 is: 312,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,435.70 : 562,234.74 = 226,138.92 : x
  2. Step 2: Convert to fraction form
    407,435.70/562,234.74 = 226,138.92/x
  3. Step 3: Cross multiply
    407,435.70x = 562,234.74 × 226,138.92
  4. Step 4: Simplify right side
    407,435.70x = 127,143,156,890.08
  5. Step 5: Solve for x
    x = 127,143,156,890.08/407,435.70
  6. Step 6: Final answer
    x = 312,056.99

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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.