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Finding the Fourth Proportional to 303,816.88, 455,823.74 and 146,057.64

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Solution

The fourth proportional to 303,816.88, 455,823.74 and 146,057.64 is: 219,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,816.88 : 455,823.74 = 146,057.64 : x
  2. Step 2: Convert to fraction form
    303,816.88/455,823.74 = 146,057.64/x
  3. Step 3: Cross multiply
    303,816.88x = 455,823.74 × 146,057.64
  4. Step 4: Simplify right side
    303,816.88x = 66,576,536,710.97
  5. Step 5: Solve for x
    x = 66,576,536,710.97/303,816.88
  6. Step 6: Final answer
    x = 219,133.76

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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.