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Finding the Fourth Proportional to 422,191.30, 633,352.56 and 141,774.16

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Solution

The fourth proportional to 422,191.30, 633,352.56 and 141,774.16 is: 212,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,191.30 : 633,352.56 = 141,774.16 : x
  2. Step 2: Convert to fraction form
    422,191.30/633,352.56 = 141,774.16/x
  3. Step 3: Cross multiply
    422,191.30x = 633,352.56 × 141,774.16
  4. Step 4: Simplify right side
    422,191.30x = 89,793,027,838.80
  5. Step 5: Solve for x
    x = 89,793,027,838.80/422,191.30
  6. Step 6: Final answer
    x = 212,683.27

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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.