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Finding the Fourth Proportional to 271,806.90, 407,564.55 and 113,856.90

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Solution

The fourth proportional to 271,806.90, 407,564.55 and 113,856.90 is: 170,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.90 : 407,564.55 = 113,856.90 : x
  2. Step 2: Convert to fraction form
    271,806.90/407,564.55 = 113,856.90/x
  3. Step 3: Cross multiply
    271,806.90x = 407,564.55 × 113,856.90
  4. Step 4: Simplify right side
    271,806.90x = 46,404,036,212.90
  5. Step 5: Solve for x
    x = 46,404,036,212.90/271,806.90
  6. Step 6: Final answer
    x = 170,724.28

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1.5x scale

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.