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Finding the Fourth Proportional to 472,984.73, 709,055.14 and 173,395.34

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Solution

The fourth proportional to 472,984.73, 709,055.14 and 173,395.34 is: 259,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,984.73 : 709,055.14 = 173,395.34 : x
  2. Step 2: Convert to fraction form
    472,984.73/709,055.14 = 173,395.34/x
  3. Step 3: Cross multiply
    472,984.73x = 709,055.14 × 173,395.34
  4. Step 4: Simplify right side
    472,984.73x = 122,946,858,418.20
  5. Step 5: Solve for x
    x = 122,946,858,418.20/472,984.73
  6. Step 6: Final answer
    x = 259,938.33

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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.