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Finding the Fourth Proportional to 678,258.40, 1,017,848.40 and 378,738.40

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Solution

The fourth proportional to 678,258.40, 1,017,848.40 and 378,738.40 is: 568,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,258.40 : 1,017,848.40 = 378,738.40 : x
  2. Step 2: Convert to fraction form
    678,258.40/1,017,848.40 = 378,738.40/x
  3. Step 3: Cross multiply
    678,258.40x = 1,017,848.40 × 378,738.40
  4. Step 4: Simplify right side
    678,258.40x = 385,498,274,458.56
  5. Step 5: Solve for x
    x = 385,498,274,458.56/678,258.40
  6. Step 6: Final answer
    x = 568,364.91

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