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Finding the Fourth Proportional to 731,136, 1,095,956.22 and 281,680.77

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Solution

The fourth proportional to 731,136, 1,095,956.22 and 281,680.77 is: 422,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,136 : 1,095,956.22 = 281,680.77 : x
  2. Step 2: Convert to fraction form
    731,136/1,095,956.22 = 281,680.77/x
  3. Step 3: Cross multiply
    731,136x = 1,095,956.22 × 281,680.77
  4. Step 4: Simplify right side
    731,136x = 308,709,791,935.89
  5. Step 5: Solve for x
    x = 308,709,791,935.89/731,136
  6. Step 6: Final answer
    x = 422,233.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.