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Finding the Fourth Proportional to 380,983.46, 525,736.98 and 217,607.88

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Solution

The fourth proportional to 380,983.46, 525,736.98 and 217,607.88 is: 300,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,983.46 : 525,736.98 = 217,607.88 : x
  2. Step 2: Convert to fraction form
    380,983.46/525,736.98 = 217,607.88/x
  3. Step 3: Cross multiply
    380,983.46x = 525,736.98 × 217,607.88
  4. Step 4: Simplify right side
    380,983.46x = 114,404,509,655.40
  5. Step 5: Solve for x
    x = 114,404,509,655.40/380,983.46
  6. Step 6: Final answer
    x = 300,287.34

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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.