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Finding the Fourth Proportional to 276,509.80, 414,586.14 and 151,817.32

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Solution

The fourth proportional to 276,509.80, 414,586.14 and 151,817.32 is: 227,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,509.80 : 414,586.14 = 151,817.32 : x
  2. Step 2: Convert to fraction form
    276,509.80/414,586.14 = 151,817.32/x
  3. Step 3: Cross multiply
    276,509.80x = 414,586.14 × 151,817.32
  4. Step 4: Simplify right side
    276,509.80x = 62,941,356,683.94
  5. Step 5: Solve for x
    x = 62,941,356,683.94/276,509.80
  6. Step 6: Final answer
    x = 227,627.94

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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.