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Finding the Fourth Proportional to 380,534.53, 525,131.00 and 208,455.90

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Solution

The fourth proportional to 380,534.53, 525,131.00 and 208,455.90 is: 287,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,534.53 : 525,131.00 = 208,455.90 : x
  2. Step 2: Convert to fraction form
    380,534.53/525,131.00 = 208,455.90/x
  3. Step 3: Cross multiply
    380,534.53x = 525,131.00 × 208,455.90
  4. Step 4: Simplify right side
    380,534.53x = 109,466,654,701.76
  5. Step 5: Solve for x
    x = 109,466,654,701.76/380,534.53
  6. Step 6: Final answer
    x = 287,665.50

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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.