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Finding the Fourth Proportional to 380,200.86, 524,669.24 and 208,114.60

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Solution

The fourth proportional to 380,200.86, 524,669.24 and 208,114.60 is: 287,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,200.86 : 524,669.24 = 208,114.60 : x
  2. Step 2: Convert to fraction form
    380,200.86/524,669.24 = 208,114.60/x
  3. Step 3: Cross multiply
    380,200.86x = 524,669.24 × 208,114.60
  4. Step 4: Simplify right side
    380,200.86x = 109,191,329,014.90
  5. Step 5: Solve for x
    x = 109,191,329,014.90/380,200.86
  6. Step 6: Final answer
    x = 287,193.80

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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.