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Finding the Fourth Proportional to 509,837.16, 703,546.38 and 283,477.80

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Solution

The fourth proportional to 509,837.16, 703,546.38 and 283,477.80 is: 391,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,837.16 : 703,546.38 = 283,477.80 : x
  2. Step 2: Convert to fraction form
    509,837.16/703,546.38 = 283,477.80/x
  3. Step 3: Cross multiply
    509,837.16x = 703,546.38 × 283,477.80
  4. Step 4: Simplify right side
    509,837.16x = 199,439,780,000.36
  5. Step 5: Solve for x
    x = 199,439,780,000.36/509,837.16
  6. Step 6: Final answer
    x = 391,183.29

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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.