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Finding the Fourth Proportional to 301,509.68, 452,195.45 and 179,964.50

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Solution

The fourth proportional to 301,509.68, 452,195.45 and 179,964.50 is: 269,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,509.68 : 452,195.45 = 179,964.50 : x
  2. Step 2: Convert to fraction form
    301,509.68/452,195.45 = 179,964.50/x
  3. Step 3: Cross multiply
    301,509.68x = 452,195.45 × 179,964.50
  4. Step 4: Simplify right side
    301,509.68x = 81,379,127,161.70
  5. Step 5: Solve for x
    x = 81,379,127,161.70/301,509.68
  6. Step 6: Final answer
    x = 269,905.52

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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.