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Finding the Fourth Proportional to 469,147.92, 647,391.52 and 265,208.52

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Solution

The fourth proportional to 469,147.92, 647,391.52 and 265,208.52 is: 365,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,147.92 : 647,391.52 = 265,208.52 : x
  2. Step 2: Convert to fraction form
    469,147.92/647,391.52 = 265,208.52/x
  3. Step 3: Cross multiply
    469,147.92x = 647,391.52 × 265,208.52
  4. Step 4: Simplify right side
    469,147.92x = 171,693,746,879.75
  5. Step 5: Solve for x
    x = 171,693,746,879.75/469,147.92
  6. Step 6: Final answer
    x = 365,969.32

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Why These Related Problems?

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