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Finding the Fourth Proportional to 286,813.31, 396,207.11 and 229,831.16

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Solution

The fourth proportional to 286,813.31, 396,207.11 and 229,831.16 is: 317,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,813.31 : 396,207.11 = 229,831.16 : x
  2. Step 2: Convert to fraction form
    286,813.31/396,207.11 = 229,831.16/x
  3. Step 3: Cross multiply
    286,813.31x = 396,207.11 × 229,831.16
  4. Step 4: Simplify right side
    286,813.31x = 91,060,738,478.07
  5. Step 5: Solve for x
    x = 91,060,738,478.07/286,813.31
  6. Step 6: Final answer
    x = 317,491.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.