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Finding the Fourth Proportional to 510,233.88, 765,085.62 and 150,357.54

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Solution

The fourth proportional to 510,233.88, 765,085.62 and 150,357.54 is: 225,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,233.88 : 765,085.62 = 150,357.54 : x
  2. Step 2: Convert to fraction form
    510,233.88/765,085.62 = 150,357.54/x
  3. Step 3: Cross multiply
    510,233.88x = 765,085.62 × 150,357.54
  4. Step 4: Simplify right side
    510,233.88x = 115,036,391,712.58
  5. Step 5: Solve for x
    x = 115,036,391,712.58/510,233.88
  6. Step 6: Final answer
    x = 225,458.16

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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.