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Finding the Fourth Proportional to 781,117, 1,171,675.74 and 190,141

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Solution

The fourth proportional to 781,117, 1,171,675.74 and 190,141 is: 285,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,117 : 1,171,675.74 = 190,141 : x
  2. Step 2: Convert to fraction form
    781,117/1,171,675.74 = 190,141/x
  3. Step 3: Cross multiply
    781,117x = 1,171,675.74 × 190,141
  4. Step 4: Simplify right side
    781,117x = 222,783,596,879.34
  5. Step 5: Solve for x
    x = 222,783,596,879.34/781,117
  6. Step 6: Final answer
    x = 285,211.56

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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.