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Finding the Fourth Proportional to 304,049.52, 456,148.60 and 214,267.37

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Solution

The fourth proportional to 304,049.52, 456,148.60 and 214,267.37 is: 321,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,049.52 : 456,148.60 = 214,267.37 : x
  2. Step 2: Convert to fraction form
    304,049.52/456,148.60 = 214,267.37/x
  3. Step 3: Cross multiply
    304,049.52x = 456,148.60 × 214,267.37
  4. Step 4: Simplify right side
    304,049.52x = 97,737,758,034.77
  5. Step 5: Solve for x
    x = 97,737,758,034.77/304,049.52
  6. Step 6: Final answer
    x = 321,453.42

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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.