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Finding the Fourth Proportional to 496,233.60, 744,544.80 and 196,663.20

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Solution

The fourth proportional to 496,233.60, 744,544.80 and 196,663.20 is: 295,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,233.60 : 744,544.80 = 196,663.20 : x
  2. Step 2: Convert to fraction form
    496,233.60/744,544.80 = 196,663.20/x
  3. Step 3: Cross multiply
    496,233.60x = 744,544.80 × 196,663.20
  4. Step 4: Simplify right side
    496,233.60x = 146,424,562,911.36
  5. Step 5: Solve for x
    x = 146,424,562,911.36/496,233.60
  6. Step 6: Final answer
    x = 295,071.84

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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.