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Finding the Fourth Proportional to 504,024.80, 756,382.80 and 223,743.20

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Solution

The fourth proportional to 504,024.80, 756,382.80 and 223,743.20 is: 335,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,024.80 : 756,382.80 = 223,743.20 : x
  2. Step 2: Convert to fraction form
    504,024.80/756,382.80 = 223,743.20/x
  3. Step 3: Cross multiply
    504,024.80x = 756,382.80 × 223,743.20
  4. Step 4: Simplify right side
    504,024.80x = 169,235,508,096.96
  5. Step 5: Solve for x
    x = 169,235,508,096.96/504,024.80
  6. Step 6: Final answer
    x = 335,768.22

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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.