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Finding the Fourth Proportional to 227,706.18, 314,323.14 and 203,791.32

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Solution

The fourth proportional to 227,706.18, 314,323.14 and 203,791.32 is: 281,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,706.18 : 314,323.14 = 203,791.32 : x
  2. Step 2: Convert to fraction form
    227,706.18/314,323.14 = 203,791.32/x
  3. Step 3: Cross multiply
    227,706.18x = 314,323.14 × 203,791.32
  4. Step 4: Simplify right side
    227,706.18x = 64,056,327,607.14
  5. Step 5: Solve for x
    x = 64,056,327,607.14/227,706.18
  6. Step 6: Final answer
    x = 281,311.33

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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.