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Finding the Fourth Proportional to 511,556.47, 705,960.33 and 282,117.09

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Solution

The fourth proportional to 511,556.47, 705,960.33 and 282,117.09 is: 389,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,556.47 : 705,960.33 = 282,117.09 : x
  2. Step 2: Convert to fraction form
    511,556.47/705,960.33 = 282,117.09/x
  3. Step 3: Cross multiply
    511,556.47x = 705,960.33 × 282,117.09
  4. Step 4: Simplify right side
    511,556.47x = 199,163,473,955.04
  5. Step 5: Solve for x
    x = 199,163,473,955.04/511,556.47
  6. Step 6: Final answer
    x = 389,328.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.