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Finding the Fourth Proportional to 380,078.32, 524,563.44 and 218,902

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Solution

The fourth proportional to 380,078.32, 524,563.44 and 218,902 is: 302,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,078.32 : 524,563.44 = 218,902 : x
  2. Step 2: Convert to fraction form
    380,078.32/524,563.44 = 218,902/x
  3. Step 3: Cross multiply
    380,078.32x = 524,563.44 × 218,902
  4. Step 4: Simplify right side
    380,078.32x = 114,827,986,142.88
  5. Step 5: Solve for x
    x = 114,827,986,142.88/380,078.32
  6. Step 6: Final answer
    x = 302,116.64

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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.