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Finding the Fourth Proportional to 296,449.73, 409,100.75 and 160,483.67

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Solution

The fourth proportional to 296,449.73, 409,100.75 and 160,483.67 is: 221,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,449.73 : 409,100.75 = 160,483.67 : x
  2. Step 2: Convert to fraction form
    296,449.73/409,100.75 = 160,483.67/x
  3. Step 3: Cross multiply
    296,449.73x = 409,100.75 × 160,483.67
  4. Step 4: Simplify right side
    296,449.73x = 65,653,989,759.75
  5. Step 5: Solve for x
    x = 65,653,989,759.75/296,449.73
  6. Step 6: Final answer
    x = 221,467.53

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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.