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Finding the Fourth Proportional to 380,315.08, 524,794.98 and 219,138.04

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Solution

The fourth proportional to 380,315.08, 524,794.98 and 219,138.04 is: 302,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,315.08 : 524,794.98 = 219,138.04 : x
  2. Step 2: Convert to fraction form
    380,315.08/524,794.98 = 219,138.04/x
  3. Step 3: Cross multiply
    380,315.08x = 524,794.98 × 219,138.04
  4. Step 4: Simplify right side
    380,315.08x = 115,002,543,319.04
  5. Step 5: Solve for x
    x = 115,002,543,319.04/380,315.08
  6. Step 6: Final answer
    x = 302,387.54

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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.