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Finding the Fourth Proportional to 413,854.88, 571,101.32 and 241,788.80

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Solution

The fourth proportional to 413,854.88, 571,101.32 and 241,788.80 is: 333,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,854.88 : 571,101.32 = 241,788.80 : x
  2. Step 2: Convert to fraction form
    413,854.88/571,101.32 = 241,788.80/x
  3. Step 3: Cross multiply
    413,854.88x = 571,101.32 × 241,788.80
  4. Step 4: Simplify right side
    413,854.88x = 138,085,902,841.22
  5. Step 5: Solve for x
    x = 138,085,902,841.22/413,854.88
  6. Step 6: Final answer
    x = 333,657.79

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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.