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Finding the Fourth Proportional to 410,372.24, 566,323.22 and 257,416.88

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Solution

The fourth proportional to 410,372.24, 566,323.22 and 257,416.88 is: 355,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,372.24 : 566,323.22 = 257,416.88 : x
  2. Step 2: Convert to fraction form
    410,372.24/566,323.22 = 257,416.88/x
  3. Step 3: Cross multiply
    410,372.24x = 566,323.22 × 257,416.88
  4. Step 4: Simplify right side
    410,372.24x = 145,781,152,245.25
  5. Step 5: Solve for x
    x = 145,781,152,245.25/410,372.24
  6. Step 6: Final answer
    x = 355,241.27

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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.