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Finding the Fourth Proportional to 380,216.64, 524,815.84 and 219,179.36

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Solution

The fourth proportional to 380,216.64, 524,815.84 and 219,179.36 is: 302,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,216.64 : 524,815.84 = 219,179.36 : x
  2. Step 2: Convert to fraction form
    380,216.64/524,815.84 = 219,179.36/x
  3. Step 3: Cross multiply
    380,216.64x = 524,815.84 × 219,179.36
  4. Step 4: Simplify right side
    380,216.64x = 115,028,799,929.06
  5. Step 5: Solve for x
    x = 115,028,799,929.06/380,216.64
  6. Step 6: Final answer
    x = 302,534.89

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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.