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Finding the Fourth Proportional to 305,174.75, 421,146.22 and 169,214.43

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Solution

The fourth proportional to 305,174.75, 421,146.22 and 169,214.43 is: 233,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,174.75 : 421,146.22 = 169,214.43 : x
  2. Step 2: Convert to fraction form
    305,174.75/421,146.22 = 169,214.43/x
  3. Step 3: Cross multiply
    305,174.75x = 421,146.22 × 169,214.43
  4. Step 4: Simplify right side
    305,174.75x = 71,264,017,563.95
  5. Step 5: Solve for x
    x = 71,264,017,563.95/305,174.75
  6. Step 6: Final answer
    x = 233,518.72

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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.