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Finding the Fourth Proportional to 313,874.83, 433,128.88 and 170,633.62

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Solution

The fourth proportional to 313,874.83, 433,128.88 and 170,633.62 is: 235,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,874.83 : 433,128.88 = 170,633.62 : x
  2. Step 2: Convert to fraction form
    313,874.83/433,128.88 = 170,633.62/x
  3. Step 3: Cross multiply
    313,874.83x = 433,128.88 × 170,633.62
  4. Step 4: Simplify right side
    313,874.83x = 73,906,348,720.95
  5. Step 5: Solve for x
    x = 73,906,348,720.95/313,874.83
  6. Step 6: Final answer
    x = 235,464.40

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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.