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Finding the Fourth Proportional to 378,258.41, 567,522.52 and 188,702.01

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Solution

The fourth proportional to 378,258.41, 567,522.52 and 188,702.01 is: 283,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,258.41 : 567,522.52 = 188,702.01 : x
  2. Step 2: Convert to fraction form
    378,258.41/567,522.52 = 188,702.01/x
  3. Step 3: Cross multiply
    378,258.41x = 567,522.52 × 188,702.01
  4. Step 4: Simplify right side
    378,258.41x = 107,092,639,772.51
  5. Step 5: Solve for x
    x = 107,092,639,772.51/378,258.41
  6. Step 6: Final answer
    x = 283,120.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.