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Finding the Fourth Proportional to 409,636.52, 614,558.46 and 114,148.52

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Solution

The fourth proportional to 409,636.52, 614,558.46 and 114,148.52 is: 171,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,636.52 : 614,558.46 = 114,148.52 : x
  2. Step 2: Convert to fraction form
    409,636.52/614,558.46 = 114,148.52/x
  3. Step 3: Cross multiply
    409,636.52x = 614,558.46 × 114,148.52
  4. Step 4: Simplify right side
    409,636.52x = 70,150,938,662.48
  5. Step 5: Solve for x
    x = 70,150,938,662.48/409,636.52
  6. Step 6: Final answer
    x = 171,251.67

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Why These Related Problems?

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