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Finding the Fourth Proportional to 421,713.20, 632,351.10 and 155,336.60

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Solution

The fourth proportional to 421,713.20, 632,351.10 and 155,336.60 is: 232,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,713.20 : 632,351.10 = 155,336.60 : x
  2. Step 2: Convert to fraction form
    421,713.20/632,351.10 = 155,336.60/x
  3. Step 3: Cross multiply
    421,713.20x = 632,351.10 × 155,336.60
  4. Step 4: Simplify right side
    421,713.20x = 98,227,269,880.26
  5. Step 5: Solve for x
    x = 98,227,269,880.26/421,713.20
  6. Step 6: Final answer
    x = 232,924.34

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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.