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Finding the Fourth Proportional to 427,814.38, 590,388.51 and 236,830.96

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Solution

The fourth proportional to 427,814.38, 590,388.51 and 236,830.96 is: 326,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,814.38 : 590,388.51 = 236,830.96 : x
  2. Step 2: Convert to fraction form
    427,814.38/590,388.51 = 236,830.96/x
  3. Step 3: Cross multiply
    427,814.38x = 590,388.51 × 236,830.96
  4. Step 4: Simplify right side
    427,814.38x = 139,822,277,596.27
  5. Step 5: Solve for x
    x = 139,822,277,596.27/427,814.38
  6. Step 6: Final answer
    x = 326,829.31

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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.