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Finding the Fourth Proportional to 294,998.13, 407,096.55 and 167,698.26

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Solution

The fourth proportional to 294,998.13, 407,096.55 and 167,698.26 is: 231,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,998.13 : 407,096.55 = 167,698.26 : x
  2. Step 2: Convert to fraction form
    294,998.13/407,096.55 = 167,698.26/x
  3. Step 3: Cross multiply
    294,998.13x = 407,096.55 × 167,698.26
  4. Step 4: Simplify right side
    294,998.13x = 68,269,383,087.00
  5. Step 5: Solve for x
    x = 68,269,383,087.00/294,998.13
  6. Step 6: Final answer
    x = 231,423.10

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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.