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Finding the Fourth Proportional to 380,610, 525,241.78 and 208,534.48

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Solution

The fourth proportional to 380,610, 525,241.78 and 208,534.48 is: 287,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,610 : 525,241.78 = 208,534.48 : x
  2. Step 2: Convert to fraction form
    380,610/525,241.78 = 208,534.48/x
  3. Step 3: Cross multiply
    380,610x = 525,241.78 × 208,534.48
  4. Step 4: Simplify right side
    380,610x = 109,531,024,218.24
  5. Step 5: Solve for x
    x = 109,531,024,218.24/380,610
  6. Step 6: Final answer
    x = 287,777.58

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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.