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Finding the Fourth Proportional to 380,298.40, 524,658.16 and 219,067.04

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Solution

The fourth proportional to 380,298.40, 524,658.16 and 219,067.04 is: 302,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,298.40 : 524,658.16 = 219,067.04 : x
  2. Step 2: Convert to fraction form
    380,298.40/524,658.16 = 219,067.04/x
  3. Step 3: Cross multiply
    380,298.40x = 524,658.16 × 219,067.04
  4. Step 4: Simplify right side
    380,298.40x = 114,935,310,123.05
  5. Step 5: Solve for x
    x = 114,935,310,123.05/380,298.40
  6. Step 6: Final answer
    x = 302,224.02

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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.