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Finding the Fourth Proportional to 405,255.80, 607,794.12 and 117,004.82

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Solution

The fourth proportional to 405,255.80, 607,794.12 and 117,004.82 is: 175,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,255.80 : 607,794.12 = 117,004.82 : x
  2. Step 2: Convert to fraction form
    405,255.80/607,794.12 = 117,004.82/x
  3. Step 3: Cross multiply
    405,255.80x = 607,794.12 × 117,004.82
  4. Step 4: Simplify right side
    405,255.80x = 71,114,842,403.16
  5. Step 5: Solve for x
    x = 71,114,842,403.16/405,255.80
  6. Step 6: Final answer
    x = 175,481.37

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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.