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Finding the Fourth Proportional to 567,596.56, 783,289.37 and 309,471.38

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Solution

The fourth proportional to 567,596.56, 783,289.37 and 309,471.38 is: 427,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,596.56 : 783,289.37 = 309,471.38 : x
  2. Step 2: Convert to fraction form
    567,596.56/783,289.37 = 309,471.38/x
  3. Step 3: Cross multiply
    567,596.56x = 783,289.37 × 309,471.38
  4. Step 4: Simplify right side
    567,596.56x = 242,405,642,684.10
  5. Step 5: Solve for x
    x = 242,405,642,684.10/567,596.56
  6. Step 6: Final answer
    x = 427,073.84

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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.