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Finding the Fourth Proportional to 380,831.45, 525,527.16 and 219,676.88

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Solution

The fourth proportional to 380,831.45, 525,527.16 and 219,676.88 is: 303,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,831.45 : 525,527.16 = 219,676.88 : x
  2. Step 2: Convert to fraction form
    380,831.45/525,527.16 = 219,676.88/x
  3. Step 3: Cross multiply
    380,831.45x = 525,527.16 × 219,676.88
  4. Step 4: Simplify right side
    380,831.45x = 115,446,166,864.06
  5. Step 5: Solve for x
    x = 115,446,166,864.06/380,831.45
  6. Step 6: Final answer
    x = 303,142.42

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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.