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Finding the Fourth Proportional to 371,882.56, 557,210.84 and 214,243.60

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Solution

The fourth proportional to 371,882.56, 557,210.84 and 214,243.60 is: 321,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,882.56 : 557,210.84 = 214,243.60 : x
  2. Step 2: Convert to fraction form
    371,882.56/557,210.84 = 214,243.60/x
  3. Step 3: Cross multiply
    371,882.56x = 557,210.84 × 214,243.60
  4. Step 4: Simplify right side
    371,882.56x = 119,378,856,320.62
  5. Step 5: Solve for x
    x = 119,378,856,320.62/371,882.56
  6. Step 6: Final answer
    x = 321,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.