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Finding the Fourth Proportional to 380,820.36, 525,537.87 and 208,737

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Solution

The fourth proportional to 380,820.36, 525,537.87 and 208,737 is: 288,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,820.36 : 525,537.87 = 208,737 : x
  2. Step 2: Convert to fraction form
    380,820.36/525,537.87 = 208,737/x
  3. Step 3: Cross multiply
    380,820.36x = 525,537.87 × 208,737
  4. Step 4: Simplify right side
    380,820.36x = 109,699,198,370.19
  5. Step 5: Solve for x
    x = 109,699,198,370.19/380,820.36
  6. Step 6: Final answer
    x = 288,060.22

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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.