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Finding the Fourth Proportional to 304,047.63, 456,145.77 and 214,265.48

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Solution

The fourth proportional to 304,047.63, 456,145.77 and 214,265.48 is: 321,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,047.63 : 456,145.77 = 214,265.48 : x
  2. Step 2: Convert to fraction form
    304,047.63/456,145.77 = 214,265.48/x
  3. Step 3: Cross multiply
    304,047.63x = 456,145.77 × 214,265.48
  4. Step 4: Simplify right side
    304,047.63x = 97,736,290,078.29
  5. Step 5: Solve for x
    x = 97,736,290,078.29/304,047.63
  6. Step 6: Final answer
    x = 321,450.59

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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.