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Finding the Fourth Proportional to 585,311.13, 807,712.29 and 327,188.63

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Solution

The fourth proportional to 585,311.13, 807,712.29 and 327,188.63 is: 451,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,311.13 : 807,712.29 = 327,188.63 : x
  2. Step 2: Convert to fraction form
    585,311.13/807,712.29 = 327,188.63/x
  3. Step 3: Cross multiply
    585,311.13x = 807,712.29 × 327,188.63
  4. Step 4: Simplify right side
    585,311.13x = 264,274,279,618.54
  5. Step 5: Solve for x
    x = 264,274,279,618.54/585,311.13
  6. Step 6: Final answer
    x = 451,510.77

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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.