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Finding the Fourth Proportional to 303,923.80, 456,663.30 and 269,709.40

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Solution

The fourth proportional to 303,923.80, 456,663.30 and 269,709.40 is: 405,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,923.80 : 456,663.30 = 269,709.40 : x
  2. Step 2: Convert to fraction form
    303,923.80/456,663.30 = 269,709.40/x
  3. Step 3: Cross multiply
    303,923.80x = 456,663.30 × 269,709.40
  4. Step 4: Simplify right side
    303,923.80x = 123,166,384,645.02
  5. Step 5: Solve for x
    x = 123,166,384,645.02/303,923.80
  6. Step 6: Final answer
    x = 405,254.16

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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.