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Finding the Fourth Proportional to 305,227.42, 421,206 and 169,259.20

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Solution

The fourth proportional to 305,227.42, 421,206 and 169,259.20 is: 233,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,227.42 : 421,206 = 169,259.20 : x
  2. Step 2: Convert to fraction form
    305,227.42/421,206 = 169,259.20/x
  3. Step 3: Cross multiply
    305,227.42x = 421,206 × 169,259.20
  4. Step 4: Simplify right side
    305,227.42x = 71,292,990,595.20
  5. Step 5: Solve for x
    x = 71,292,990,595.20/305,227.42
  6. Step 6: Final answer
    x = 233,573.35

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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.