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Finding the Fourth Proportional to 414,530.06, 620,507.94 and 224,518.50

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Solution

The fourth proportional to 414,530.06, 620,507.94 and 224,518.50 is: 336,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,530.06 : 620,507.94 = 224,518.50 : x
  2. Step 2: Convert to fraction form
    414,530.06/620,507.94 = 224,518.50/x
  3. Step 3: Cross multiply
    414,530.06x = 620,507.94 × 224,518.50
  4. Step 4: Simplify right side
    414,530.06x = 139,315,511,926.89
  5. Step 5: Solve for x
    x = 139,315,511,926.89/414,530.06
  6. Step 6: Final answer
    x = 336,080.61

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