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Finding the Fourth Proportional to 449,511.79, 674,533.70 and 165,401.85

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Solution

The fourth proportional to 449,511.79, 674,533.70 and 165,401.85 is: 248,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,511.79 : 674,533.70 = 165,401.85 : x
  2. Step 2: Convert to fraction form
    449,511.79/674,533.70 = 165,401.85/x
  3. Step 3: Cross multiply
    449,511.79x = 674,533.70 × 165,401.85
  4. Step 4: Simplify right side
    449,511.79x = 111,569,117,667.67
  5. Step 5: Solve for x
    x = 111,569,117,667.67/449,511.79
  6. Step 6: Final answer
    x = 248,200.65

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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.