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Finding the Fourth Proportional to 409,212.21, 564,741.24 and 248,074.05

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Solution

The fourth proportional to 409,212.21, 564,741.24 and 248,074.05 is: 342,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,212.21 : 564,741.24 = 248,074.05 : x
  2. Step 2: Convert to fraction form
    409,212.21/564,741.24 = 248,074.05/x
  3. Step 3: Cross multiply
    409,212.21x = 564,741.24 × 248,074.05
  4. Step 4: Simplify right side
    409,212.21x = 140,097,646,608.82
  5. Step 5: Solve for x
    x = 140,097,646,608.82/409,212.21
  6. Step 6: Final answer
    x = 342,359.40

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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.