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Finding the Fourth Proportional to 511,376.33, 705,704.06 and 281,941.72

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Solution

The fourth proportional to 511,376.33, 705,704.06 and 281,941.72 is: 389,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,376.33 : 705,704.06 = 281,941.72 : x
  2. Step 2: Convert to fraction form
    511,376.33/705,704.06 = 281,941.72/x
  3. Step 3: Cross multiply
    511,376.33x = 705,704.06 × 281,941.72
  4. Step 4: Simplify right side
    511,376.33x = 198,967,416,487.38
  5. Step 5: Solve for x
    x = 198,967,416,487.38/511,376.33
  6. Step 6: Final answer
    x = 389,082.18

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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.