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Finding the Fourth Proportional to 288,193.67, 397,705.72 and 167,364.64

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Solution

The fourth proportional to 288,193.67, 397,705.72 and 167,364.64 is: 230,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,193.67 : 397,705.72 = 167,364.64 : x
  2. Step 2: Convert to fraction form
    288,193.67/397,705.72 = 167,364.64/x
  3. Step 3: Cross multiply
    288,193.67x = 397,705.72 × 167,364.64
  4. Step 4: Simplify right side
    288,193.67x = 66,561,871,828.39
  5. Step 5: Solve for x
    x = 66,561,871,828.39/288,193.67
  6. Step 6: Final answer
    x = 230,962.30

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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.