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Finding the Fourth Proportional to 221,492.70, 332,567.10 and 171,629.10

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Solution

The fourth proportional to 221,492.70, 332,567.10 and 171,629.10 is: 257,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,492.70 : 332,567.10 = 171,629.10 : x
  2. Step 2: Convert to fraction form
    221,492.70/332,567.10 = 171,629.10/x
  3. Step 3: Cross multiply
    221,492.70x = 332,567.10 × 171,629.10
  4. Step 4: Simplify right side
    221,492.70x = 57,078,192,062.61
  5. Step 5: Solve for x
    x = 57,078,192,062.61/221,492.70
  6. Step 6: Final answer
    x = 257,697.85

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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.