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Finding the Fourth Proportional to 230,588.49, 343,590.34 and 205,435.26

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Solution

The fourth proportional to 230,588.49, 343,590.34 and 205,435.26 is: 306,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,588.49 : 343,590.34 = 205,435.26 : x
  2. Step 2: Convert to fraction form
    230,588.49/343,590.34 = 205,435.26/x
  3. Step 3: Cross multiply
    230,588.49x = 343,590.34 × 205,435.26
  4. Step 4: Simplify right side
    230,588.49x = 70,585,570,831.39
  5. Step 5: Solve for x
    x = 70,585,570,831.39/230,588.49
  6. Step 6: Final answer
    x = 306,110.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.