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Finding the Fourth Proportional to 380,212.56, 524,748.60 and 219,036.24

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Solution

The fourth proportional to 380,212.56, 524,748.60 and 219,036.24 is: 302,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,212.56 : 524,748.60 = 219,036.24 : x
  2. Step 2: Convert to fraction form
    380,212.56/524,748.60 = 219,036.24/x
  3. Step 3: Cross multiply
    380,212.56x = 524,748.60 × 219,036.24
  4. Step 4: Simplify right side
    380,212.56x = 114,938,960,289.26
  5. Step 5: Solve for x
    x = 114,938,960,289.26/380,212.56
  6. Step 6: Final answer
    x = 302,301.85

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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.