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Finding the Fourth Proportional to 301,485.76, 452,238.36 and 151,644.32

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Solution

The fourth proportional to 301,485.76, 452,238.36 and 151,644.32 is: 227,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,485.76 : 452,238.36 = 151,644.32 : x
  2. Step 2: Convert to fraction form
    301,485.76/452,238.36 = 151,644.32/x
  3. Step 3: Cross multiply
    301,485.76x = 452,238.36 × 151,644.32
  4. Step 4: Simplify right side
    301,485.76x = 68,579,378,580.12
  5. Step 5: Solve for x
    x = 68,579,378,580.12/301,485.76
  6. Step 6: Final answer
    x = 227,471.37

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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.