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Finding the Fourth Proportional to 473,010.82, 709,629.23 and 153,163.03

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Solution

The fourth proportional to 473,010.82, 709,629.23 and 153,163.03 is: 229,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,010.82 : 709,629.23 = 153,163.03 : x
  2. Step 2: Convert to fraction form
    473,010.82/709,629.23 = 153,163.03/x
  3. Step 3: Cross multiply
    473,010.82x = 709,629.23 × 153,163.03
  4. Step 4: Simplify right side
    473,010.82x = 108,688,960,556.15
  5. Step 5: Solve for x
    x = 108,688,960,556.15/473,010.82
  6. Step 6: Final answer
    x = 229,781.13

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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.