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Finding the Fourth Proportional to 413,858.27, 620,945.02 and 144,016.39

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Solution

The fourth proportional to 413,858.27, 620,945.02 and 144,016.39 is: 216,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,858.27 : 620,945.02 = 144,016.39 : x
  2. Step 2: Convert to fraction form
    413,858.27/620,945.02 = 144,016.39/x
  3. Step 3: Cross multiply
    413,858.27x = 620,945.02 × 144,016.39
  4. Step 4: Simplify right side
    413,858.27x = 89,426,258,771.10
  5. Step 5: Solve for x
    x = 89,426,258,771.10/413,858.27
  6. Step 6: Final answer
    x = 216,079.43

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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.