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Finding the Fourth Proportional to 409,916.70, 565,599.03 and 248,856.54

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Solution

The fourth proportional to 409,916.70, 565,599.03 and 248,856.54 is: 343,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,916.70 : 565,599.03 = 248,856.54 : x
  2. Step 2: Convert to fraction form
    409,916.70/565,599.03 = 248,856.54/x
  3. Step 3: Cross multiply
    409,916.70x = 565,599.03 × 248,856.54
  4. Step 4: Simplify right side
    409,916.70x = 140,753,017,633.16
  5. Step 5: Solve for x
    x = 140,753,017,633.16/409,916.70
  6. Step 6: Final answer
    x = 343,369.81

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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.