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Finding the Fourth Proportional to 543,168.24, 814,259.88 and 293,558.64

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Solution

The fourth proportional to 543,168.24, 814,259.88 and 293,558.64 is: 440,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,168.24 : 814,259.88 = 293,558.64 : x
  2. Step 2: Convert to fraction form
    543,168.24/814,259.88 = 293,558.64/x
  3. Step 3: Cross multiply
    543,168.24x = 814,259.88 × 293,558.64
  4. Step 4: Simplify right side
    543,168.24x = 239,033,022,979.36
  5. Step 5: Solve for x
    x = 239,033,022,979.36/543,168.24
  6. Step 6: Final answer
    x = 440,071.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.