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Finding the Fourth Proportional to 567,732.44, 783,460.89 and 309,611.38

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Solution

The fourth proportional to 567,732.44, 783,460.89 and 309,611.38 is: 427,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,732.44 : 783,460.89 = 309,611.38 : x
  2. Step 2: Convert to fraction form
    567,732.44/783,460.89 = 309,611.38/x
  3. Step 3: Cross multiply
    567,732.44x = 783,460.89 × 309,611.38
  4. Step 4: Simplify right side
    567,732.44x = 242,568,407,328.93
  5. Step 5: Solve for x
    x = 242,568,407,328.93/567,732.44
  6. Step 6: Final answer
    x = 427,258.32

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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.