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Finding the Fourth Proportional to 380,206.72, 524,626.52 and 219,030.24

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Solution

The fourth proportional to 380,206.72, 524,626.52 and 219,030.24 is: 302,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,206.72 : 524,626.52 = 219,030.24 : x
  2. Step 2: Convert to fraction form
    380,206.72/524,626.52 = 219,030.24/x
  3. Step 3: Cross multiply
    380,206.72x = 524,626.52 × 219,030.24
  4. Step 4: Simplify right side
    380,206.72x = 114,909,072,585.97
  5. Step 5: Solve for x
    x = 114,909,072,585.97/380,206.72
  6. Step 6: Final answer
    x = 302,227.88

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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.