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Finding the Fourth Proportional to 288,000.41, 397,440.82 and 160,676.03

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Solution

The fourth proportional to 288,000.41, 397,440.82 and 160,676.03 is: 221,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.41 : 397,440.82 = 160,676.03 : x
  2. Step 2: Convert to fraction form
    288,000.41/397,440.82 = 160,676.03/x
  3. Step 3: Cross multiply
    288,000.41x = 397,440.82 × 160,676.03
  4. Step 4: Simplify right side
    288,000.41x = 63,859,212,314.16
  5. Step 5: Solve for x
    x = 63,859,212,314.16/288,000.41
  6. Step 6: Final answer
    x = 221,733.06

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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.