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Finding the Fourth Proportional to 304,069.30, 456,178.19 and 214,287.14

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Solution

The fourth proportional to 304,069.30, 456,178.19 and 214,287.14 is: 321,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,069.30 : 456,178.19 = 214,287.14 : x
  2. Step 2: Convert to fraction form
    304,069.30/456,178.19 = 214,287.14/x
  3. Step 3: Cross multiply
    304,069.30x = 456,178.19 × 214,287.14
  4. Step 4: Simplify right side
    304,069.30x = 97,753,119,665.48
  5. Step 5: Solve for x
    x = 97,753,119,665.48/304,069.30
  6. Step 6: Final answer
    x = 321,483.03

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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.