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Finding the Fourth Proportional to 288,193.92, 397,706.06 and 167,364.89

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Solution

The fourth proportional to 288,193.92, 397,706.06 and 167,364.89 is: 230,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,193.92 : 397,706.06 = 167,364.89 : x
  2. Step 2: Convert to fraction form
    288,193.92/397,706.06 = 167,364.89/x
  3. Step 3: Cross multiply
    288,193.92x = 397,706.06 × 167,364.89
  4. Step 4: Simplify right side
    288,193.92x = 66,562,028,158.88
  5. Step 5: Solve for x
    x = 66,562,028,158.88/288,193.92
  6. Step 6: Final answer
    x = 230,962.64

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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.