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Finding the Fourth Proportional to 304,093.11, 456,214.06 and 214,311.00

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Solution

The fourth proportional to 304,093.11, 456,214.06 and 214,311.00 is: 321,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,093.11 : 456,214.06 = 214,311.00 : x
  2. Step 2: Convert to fraction form
    304,093.11/456,214.06 = 214,311.00/x
  3. Step 3: Cross multiply
    304,093.11x = 456,214.06 × 214,311.00
  4. Step 4: Simplify right side
    304,093.11x = 97,771,692,185.85
  5. Step 5: Solve for x
    x = 97,771,692,185.85/304,093.11
  6. Step 6: Final answer
    x = 321,518.93

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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.