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Finding the Fourth Proportional to 475,480.04, 712,796.75 and 171,806.47

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Solution

The fourth proportional to 475,480.04, 712,796.75 and 171,806.47 is: 257,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480.04 : 712,796.75 = 171,806.47 : x
  2. Step 2: Convert to fraction form
    475,480.04/712,796.75 = 171,806.47/x
  3. Step 3: Cross multiply
    475,480.04x = 712,796.75 × 171,806.47
  4. Step 4: Simplify right side
    475,480.04x = 122,463,089,021.96
  5. Step 5: Solve for x
    x = 122,463,089,021.96/475,480.04
  6. Step 6: Final answer
    x = 257,556.74

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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.