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Finding the Fourth Proportional to 585,182.09, 807,540.62 and 327,063.84

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Solution

The fourth proportional to 585,182.09, 807,540.62 and 327,063.84 is: 451,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,182.09 : 807,540.62 = 327,063.84 : x
  2. Step 2: Convert to fraction form
    585,182.09/807,540.62 = 327,063.84/x
  3. Step 3: Cross multiply
    585,182.09x = 807,540.62 × 327,063.84
  4. Step 4: Simplify right side
    585,182.09x = 264,117,334,497.86
  5. Step 5: Solve for x
    x = 264,117,334,497.86/585,182.09
  6. Step 6: Final answer
    x = 451,342.14

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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.