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Finding the Fourth Proportional to 378,014.40, 521,654.04 and 208,254.60

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Solution

The fourth proportional to 378,014.40, 521,654.04 and 208,254.60 is: 287,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,014.40 : 521,654.04 = 208,254.60 : x
  2. Step 2: Convert to fraction form
    378,014.40/521,654.04 = 208,254.60/x
  3. Step 3: Cross multiply
    378,014.40x = 521,654.04 × 208,254.60
  4. Step 4: Simplify right side
    378,014.40x = 108,636,853,438.58
  5. Step 5: Solve for x
    x = 108,636,853,438.58/378,014.40
  6. Step 6: Final answer
    x = 287,388.14

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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.