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Finding the Fourth Proportional to 380,202.66, 524,796.48 and 219,165.36

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Solution

The fourth proportional to 380,202.66, 524,796.48 and 219,165.36 is: 302,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,202.66 : 524,796.48 = 219,165.36 : x
  2. Step 2: Convert to fraction form
    380,202.66/524,796.48 = 219,165.36/x
  3. Step 3: Cross multiply
    380,202.66x = 524,796.48 × 219,165.36
  4. Step 4: Simplify right side
    380,202.66x = 115,017,209,465.93
  5. Step 5: Solve for x
    x = 115,017,209,465.93/380,202.66
  6. Step 6: Final answer
    x = 302,515.53

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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.