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Finding the Fourth Proportional to 380,535.49, 525,190.40 and 219,387.61

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Solution

The fourth proportional to 380,535.49, 525,190.40 and 219,387.61 is: 302,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,535.49 : 525,190.40 = 219,387.61 : x
  2. Step 2: Convert to fraction form
    380,535.49/525,190.40 = 219,387.61/x
  3. Step 3: Cross multiply
    380,535.49x = 525,190.40 × 219,387.61
  4. Step 4: Simplify right side
    380,535.49x = 115,220,266,650.94
  5. Step 5: Solve for x
    x = 115,220,266,650.94/380,535.49
  6. Step 6: Final answer
    x = 302,784.55

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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.