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Finding the Fourth Proportional to 311,430.89, 429,774.53 and 168,190.97

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Solution

The fourth proportional to 311,430.89, 429,774.53 and 168,190.97 is: 232,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,430.89 : 429,774.53 = 168,190.97 : x
  2. Step 2: Convert to fraction form
    311,430.89/429,774.53 = 168,190.97/x
  3. Step 3: Cross multiply
    311,430.89x = 429,774.53 × 168,190.97
  4. Step 4: Simplify right side
    311,430.89x = 72,284,192,092.17
  5. Step 5: Solve for x
    x = 72,284,192,092.17/311,430.89
  6. Step 6: Final answer
    x = 232,103.47

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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.