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Finding the Fourth Proportional to 472,782.44, 652,456.20 and 257,934.32

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Solution

The fourth proportional to 472,782.44, 652,456.20 and 257,934.32 is: 355,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,782.44 : 652,456.20 = 257,934.32 : x
  2. Step 2: Convert to fraction form
    472,782.44/652,456.20 = 257,934.32/x
  3. Step 3: Cross multiply
    472,782.44x = 652,456.20 × 257,934.32
  4. Step 4: Simplify right side
    472,782.44x = 168,290,846,276.78
  5. Step 5: Solve for x
    x = 168,290,846,276.78/472,782.44
  6. Step 6: Final answer
    x = 355,958.33

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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.