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Finding the Fourth Proportional to 273,290.24, 409,984.64 and 123,601.28

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Solution

The fourth proportional to 273,290.24, 409,984.64 and 123,601.28 is: 185,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,290.24 : 409,984.64 = 123,601.28 : x
  2. Step 2: Convert to fraction form
    273,290.24/409,984.64 = 123,601.28/x
  3. Step 3: Cross multiply
    273,290.24x = 409,984.64 × 123,601.28
  4. Step 4: Simplify right side
    273,290.24x = 50,674,626,284.34
  5. Step 5: Solve for x
    x = 50,674,626,284.34/273,290.24
  6. Step 6: Final answer
    x = 185,424.21

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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.