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Finding the Fourth Proportional to 303,848.70, 419,225.85 and 174,780.42

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Solution

The fourth proportional to 303,848.70, 419,225.85 and 174,780.42 is: 241,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,848.70 : 419,225.85 = 174,780.42 : x
  2. Step 2: Convert to fraction form
    303,848.70/419,225.85 = 174,780.42/x
  3. Step 3: Cross multiply
    303,848.70x = 419,225.85 × 174,780.42
  4. Step 4: Simplify right side
    303,848.70x = 73,272,470,137.86
  5. Step 5: Solve for x
    x = 73,272,470,137.86/303,848.70
  6. Step 6: Final answer
    x = 241,147.88

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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.