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Finding the Fourth Proportional to 276,288.66, 381,277.74 and 155,430

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Solution

The fourth proportional to 276,288.66, 381,277.74 and 155,430 is: 214,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,288.66 : 381,277.74 = 155,430 : x
  2. Step 2: Convert to fraction form
    276,288.66/381,277.74 = 155,430/x
  3. Step 3: Cross multiply
    276,288.66x = 381,277.74 × 155,430
  4. Step 4: Simplify right side
    276,288.66x = 59,261,999,128.20
  5. Step 5: Solve for x
    x = 59,261,999,128.20/276,288.66
  6. Step 6: Final answer
    x = 214,493.06

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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.