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Finding the Fourth Proportional to 304,094.11, 456,215.56 and 214,312

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Solution

The fourth proportional to 304,094.11, 456,215.56 and 214,312 is: 321,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,094.11 : 456,215.56 = 214,312 : x
  2. Step 2: Convert to fraction form
    304,094.11/456,215.56 = 214,312/x
  3. Step 3: Cross multiply
    304,094.11x = 456,215.56 × 214,312
  4. Step 4: Simplify right side
    304,094.11x = 97,772,469,094.72
  5. Step 5: Solve for x
    x = 97,772,469,094.72/304,094.11
  6. Step 6: Final answer
    x = 321,520.43

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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.