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Finding the Fourth Proportional to 420,224.68, 579,937.46 and 238,953.48

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Solution

The fourth proportional to 420,224.68, 579,937.46 and 238,953.48 is: 329,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,224.68 : 579,937.46 = 238,953.48 : x
  2. Step 2: Convert to fraction form
    420,224.68/579,937.46 = 238,953.48/x
  3. Step 3: Cross multiply
    420,224.68x = 579,937.46 × 238,953.48
  4. Step 4: Simplify right side
    420,224.68x = 138,578,074,249.36
  5. Step 5: Solve for x
    x = 138,578,074,249.36/420,224.68
  6. Step 6: Final answer
    x = 329,771.38

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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.