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Finding the Fourth Proportional to 295,133.88, 407,304 and 167,821.32

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Solution

The fourth proportional to 295,133.88, 407,304 and 167,821.32 is: 231,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133.88 : 407,304 = 167,821.32 : x
  2. Step 2: Convert to fraction form
    295,133.88/407,304 = 167,821.32/x
  3. Step 3: Cross multiply
    295,133.88x = 407,304 × 167,821.32
  4. Step 4: Simplify right side
    295,133.88x = 68,354,294,921.28
  5. Step 5: Solve for x
    x = 68,354,294,921.28/295,133.88
  6. Step 6: Final answer
    x = 231,604.37

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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.