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Finding the Fourth Proportional to 464,556.07, 696,768.49 and 148,971.97

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Solution

The fourth proportional to 464,556.07, 696,768.49 and 148,971.97 is: 223,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,556.07 : 696,768.49 = 148,971.97 : x
  2. Step 2: Convert to fraction form
    464,556.07/696,768.49 = 148,971.97/x
  3. Step 3: Cross multiply
    464,556.07x = 696,768.49 × 148,971.97
  4. Step 4: Simplify right side
    464,556.07x = 103,798,974,589.23
  5. Step 5: Solve for x
    x = 103,798,974,589.23/464,556.07
  6. Step 6: Final answer
    x = 223,436.91

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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.