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Finding the Fourth Proportional to 305,955.32, 422,206.26 and 169,997.69

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Solution

The fourth proportional to 305,955.32, 422,206.26 and 169,997.69 is: 234,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,955.32 : 422,206.26 = 169,997.69 : x
  2. Step 2: Convert to fraction form
    305,955.32/422,206.26 = 169,997.69/x
  3. Step 3: Cross multiply
    305,955.32x = 422,206.26 × 169,997.69
  4. Step 4: Simplify right side
    305,955.32x = 71,774,086,792.51
  5. Step 5: Solve for x
    x = 71,774,086,792.51/305,955.32
  6. Step 6: Final answer
    x = 234,590.10

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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.