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Finding the Fourth Proportional to 378,017.40, 521,658.18 and 208,257.60

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Solution

The fourth proportional to 378,017.40, 521,658.18 and 208,257.60 is: 287,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,017.40 : 521,658.18 = 208,257.60 : x
  2. Step 2: Convert to fraction form
    378,017.40/521,658.18 = 208,257.60/x
  3. Step 3: Cross multiply
    378,017.40x = 521,658.18 × 208,257.60
  4. Step 4: Simplify right side
    378,017.40x = 108,639,280,587.17
  5. Step 5: Solve for x
    x = 108,639,280,587.17/378,017.40
  6. Step 6: Final answer
    x = 287,392.28

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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.