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Finding the Fourth Proportional to 511,632.63, 767,448.39 and 174,645.33

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Solution

The fourth proportional to 511,632.63, 767,448.39 and 174,645.33 is: 261,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,632.63 : 767,448.39 = 174,645.33 : x
  2. Step 2: Convert to fraction form
    511,632.63/767,448.39 = 174,645.33/x
  3. Step 3: Cross multiply
    511,632.63x = 767,448.39 × 174,645.33
  4. Step 4: Simplify right side
    511,632.63x = 134,031,277,329.52
  5. Step 5: Solve for x
    x = 134,031,277,329.52/511,632.63
  6. Step 6: Final answer
    x = 261,967.81

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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.