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Finding the Fourth Proportional to 415,233.90, 622,851.27 and 115,715.34

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Solution

The fourth proportional to 415,233.90, 622,851.27 and 115,715.34 is: 173,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.90 : 622,851.27 = 115,715.34 : x
  2. Step 2: Convert to fraction form
    415,233.90/622,851.27 = 115,715.34/x
  3. Step 3: Cross multiply
    415,233.90x = 622,851.27 × 115,715.34
  4. Step 4: Simplify right side
    415,233.90x = 72,073,446,477.48
  5. Step 5: Solve for x
    x = 72,073,446,477.48/415,233.90
  6. Step 6: Final answer
    x = 173,573.13

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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.