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Finding the Fourth Proportional to 304,553.42, 420,284.64 and 164,851.94

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Solution

The fourth proportional to 304,553.42, 420,284.64 and 164,851.94 is: 227,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,553.42 : 420,284.64 = 164,851.94 : x
  2. Step 2: Convert to fraction form
    304,553.42/420,284.64 = 164,851.94/x
  3. Step 3: Cross multiply
    304,553.42x = 420,284.64 × 164,851.94
  4. Step 4: Simplify right side
    304,553.42x = 69,284,738,256.20
  5. Step 5: Solve for x
    x = 69,284,738,256.20/304,553.42
  6. Step 6: Final answer
    x = 227,496.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.