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Finding the Fourth Proportional to 409,212.71, 564,741.93 and 248,074.55

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Solution

The fourth proportional to 409,212.71, 564,741.93 and 248,074.55 is: 342,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,212.71 : 564,741.93 = 248,074.55 : x
  2. Step 2: Convert to fraction form
    409,212.71/564,741.93 = 248,074.55/x
  3. Step 3: Cross multiply
    409,212.71x = 564,741.93 × 248,074.55
  4. Step 4: Simplify right side
    409,212.71x = 140,098,100,150.88
  5. Step 5: Solve for x
    x = 140,098,100,150.88/409,212.71
  6. Step 6: Final answer
    x = 342,360.09

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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.