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Finding the Fourth Proportional to 473,219.48, 709,942.22 and 157,679.12

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Solution

The fourth proportional to 473,219.48, 709,942.22 and 157,679.12 is: 236,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,219.48 : 709,942.22 = 157,679.12 : x
  2. Step 2: Convert to fraction form
    473,219.48/709,942.22 = 157,679.12/x
  3. Step 3: Cross multiply
    473,219.48x = 709,942.22 × 157,679.12
  4. Step 4: Simplify right side
    473,219.48x = 111,943,060,162.34
  5. Step 5: Solve for x
    x = 111,943,060,162.34/473,219.48
  6. Step 6: Final answer
    x = 236,556.33

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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.