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Finding the Fourth Proportional to 462,829.60, 694,503.60 and 196,544.80

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Solution

The fourth proportional to 462,829.60, 694,503.60 and 196,544.80 is: 294,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,829.60 : 694,503.60 = 196,544.80 : x
  2. Step 2: Convert to fraction form
    462,829.60/694,503.60 = 196,544.80/x
  3. Step 3: Cross multiply
    462,829.60x = 694,503.60 × 196,544.80
  4. Step 4: Simplify right side
    462,829.60x = 136,501,071,161.28
  5. Step 5: Solve for x
    x = 136,501,071,161.28/462,829.60
  6. Step 6: Final answer
    x = 294,927.27

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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.