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Finding the Fourth Proportional to 304,081.89, 456,197.15 and 214,299.87

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Solution

The fourth proportional to 304,081.89, 456,197.15 and 214,299.87 is: 321,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,081.89 : 456,197.15 = 214,299.87 : x
  2. Step 2: Convert to fraction form
    304,081.89/456,197.15 = 214,299.87/x
  3. Step 3: Cross multiply
    304,081.89x = 456,197.15 × 214,299.87
  4. Step 4: Simplify right side
    304,081.89x = 97,762,989,939.37
  5. Step 5: Solve for x
    x = 97,762,989,939.37/304,081.89
  6. Step 6: Final answer
    x = 321,502.18

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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.