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Finding the Fourth Proportional to 380,739.66, 525,409.26 and 208,655.52

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Solution

The fourth proportional to 380,739.66, 525,409.26 and 208,655.52 is: 287,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,739.66 : 525,409.26 = 208,655.52 : x
  2. Step 2: Convert to fraction form
    380,739.66/525,409.26 = 208,655.52/x
  3. Step 3: Cross multiply
    380,739.66x = 525,409.26 × 208,655.52
  4. Step 4: Simplify right side
    380,739.66x = 109,629,542,358.12
  5. Step 5: Solve for x
    x = 109,629,542,358.12/380,739.66
  6. Step 6: Final answer
    x = 287,938.33

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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.