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Finding the Fourth Proportional to 313,261.97, 432,301.83 and 170,022.07

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Solution

The fourth proportional to 313,261.97, 432,301.83 and 170,022.07 is: 234,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,261.97 : 432,301.83 = 170,022.07 : x
  2. Step 2: Convert to fraction form
    313,261.97/432,301.83 = 170,022.07/x
  3. Step 3: Cross multiply
    313,261.97x = 432,301.83 × 170,022.07
  4. Step 4: Simplify right side
    313,261.97x = 73,500,851,904.18
  5. Step 5: Solve for x
    x = 73,500,851,904.18/313,261.97
  6. Step 6: Final answer
    x = 234,630.63

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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.