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Finding the Fourth Proportional to 415,233.91, 622,917.94 and 175,383.87

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Solution

The fourth proportional to 415,233.91, 622,917.94 and 175,383.87 is: 263,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.91 : 622,917.94 = 175,383.87 : x
  2. Step 2: Convert to fraction form
    415,233.91/622,917.94 = 175,383.87/x
  3. Step 3: Cross multiply
    415,233.91x = 622,917.94 × 175,383.87
  4. Step 4: Simplify right side
    415,233.91x = 109,249,756,564.07
  5. Step 5: Solve for x
    x = 109,249,756,564.07/415,233.91
  6. Step 6: Final answer
    x = 263,104.13

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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.