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Finding the Fourth Proportional to 313,833.96, 433,078.92 and 170,591.04

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Solution

The fourth proportional to 313,833.96, 433,078.92 and 170,591.04 is: 235,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,833.96 : 433,078.92 = 170,591.04 : x
  2. Step 2: Convert to fraction form
    313,833.96/433,078.92 = 170,591.04/x
  3. Step 3: Cross multiply
    313,833.96x = 433,078.92 × 170,591.04
  4. Step 4: Simplify right side
    313,833.96x = 73,879,383,364.88
  5. Step 5: Solve for x
    x = 73,879,383,364.88/313,833.96
  6. Step 6: Final answer
    x = 235,409.14

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1.5x scale

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.