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Finding the Fourth Proportional to 380,267.56, 524,773.38 and 210,504.52

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Solution

The fourth proportional to 380,267.56, 524,773.38 and 210,504.52 is: 290,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,267.56 : 524,773.38 = 210,504.52 : x
  2. Step 2: Convert to fraction form
    380,267.56/524,773.38 = 210,504.52/x
  3. Step 3: Cross multiply
    380,267.56x = 524,773.38 × 210,504.52
  4. Step 4: Simplify right side
    380,267.56x = 110,467,168,465.68
  5. Step 5: Solve for x
    x = 110,467,168,465.68/380,267.56
  6. Step 6: Final answer
    x = 290,498.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.