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Finding the Fourth Proportional to 304,014.98, 419,582.37 and 174,950.78

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Solution

The fourth proportional to 304,014.98, 419,582.37 and 174,950.78 is: 241,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,014.98 : 419,582.37 = 174,950.78 : x
  2. Step 2: Convert to fraction form
    304,014.98/419,582.37 = 174,950.78/x
  3. Step 3: Cross multiply
    304,014.98x = 419,582.37 × 174,950.78
  4. Step 4: Simplify right side
    304,014.98x = 73,406,262,905.75
  5. Step 5: Solve for x
    x = 73,406,262,905.75/304,014.98
  6. Step 6: Final answer
    x = 241,456.07

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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.