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Finding the Fourth Proportional to 421,393.26, 632,007.42 and 350,769.56

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Solution

The fourth proportional to 421,393.26, 632,007.42 and 350,769.56 is: 526,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,393.26 : 632,007.42 = 350,769.56 : x
  2. Step 2: Convert to fraction form
    421,393.26/632,007.42 = 350,769.56/x
  3. Step 3: Cross multiply
    421,393.26x = 632,007.42 × 350,769.56
  4. Step 4: Simplify right side
    421,393.26x = 221,688,964,630.14
  5. Step 5: Solve for x
    x = 221,688,964,630.14/421,393.26
  6. Step 6: Final answer
    x = 526,085.69

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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.