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Finding the Fourth Proportional to 380,510.83, 525,103.63 and 219,365.11

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Solution

The fourth proportional to 380,510.83, 525,103.63 and 219,365.11 is: 302,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,510.83 : 525,103.63 = 219,365.11 : x
  2. Step 2: Convert to fraction form
    380,510.83/525,103.63 = 219,365.11/x
  3. Step 3: Cross multiply
    380,510.83x = 525,103.63 × 219,365.11
  4. Step 4: Simplify right side
    380,510.83x = 115,189,415,556.35
  5. Step 5: Solve for x
    x = 115,189,415,556.35/380,510.83
  6. Step 6: Final answer
    x = 302,723.09

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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.