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Finding the Fourth Proportional to 498,496.24, 687,843.64 and 294,518.96

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Solution

The fourth proportional to 498,496.24, 687,843.64 and 294,518.96 is: 406,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,496.24 : 687,843.64 = 294,518.96 : x
  2. Step 2: Convert to fraction form
    498,496.24/687,843.64 = 294,518.96/x
  3. Step 3: Cross multiply
    498,496.24x = 687,843.64 × 294,518.96
  4. Step 4: Simplify right side
    498,496.24x = 202,582,993,495.41
  5. Step 5: Solve for x
    x = 202,582,993,495.41/498,496.24
  6. Step 6: Final answer
    x = 406,388.21

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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.