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Finding the Fourth Proportional to 380,887.51, 525,621.34 and 208,815.30

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Solution

The fourth proportional to 380,887.51, 525,621.34 and 208,815.30 is: 288,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,887.51 : 525,621.34 = 208,815.30 : x
  2. Step 2: Convert to fraction form
    380,887.51/525,621.34 = 208,815.30/x
  3. Step 3: Cross multiply
    380,887.51x = 525,621.34 × 208,815.30
  4. Step 4: Simplify right side
    380,887.51x = 109,757,777,798.50
  5. Step 5: Solve for x
    x = 109,757,777,798.50/380,887.51
  6. Step 6: Final answer
    x = 288,163.24

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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.