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Finding the Fourth Proportional to 503,761.12, 751,712.36 and 459,049.12

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Solution

The fourth proportional to 503,761.12, 751,712.36 and 459,049.12 is: 684,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,761.12 : 751,712.36 = 459,049.12 : x
  2. Step 2: Convert to fraction form
    503,761.12/751,712.36 = 459,049.12/x
  3. Step 3: Cross multiply
    503,761.12x = 751,712.36 × 459,049.12
  4. Step 4: Simplify right side
    503,761.12x = 345,072,897,351.12
  5. Step 5: Solve for x
    x = 345,072,897,351.12/503,761.12
  6. Step 6: Final answer
    x = 684,993.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.