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Finding the Fourth Proportional to 413,846.88, 571,090.28 and 241,780.80

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Solution

The fourth proportional to 413,846.88, 571,090.28 and 241,780.80 is: 333,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,846.88 : 571,090.28 = 241,780.80 : x
  2. Step 2: Convert to fraction form
    413,846.88/571,090.28 = 241,780.80/x
  3. Step 3: Cross multiply
    413,846.88x = 571,090.28 × 241,780.80
  4. Step 4: Simplify right side
    413,846.88x = 138,078,664,770.62
  5. Step 5: Solve for x
    x = 138,078,664,770.62/413,846.88
  6. Step 6: Final answer
    x = 333,646.75

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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.