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Finding the Fourth Proportional to 354,014.89, 530,789.64 and 171,597.40

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Solution

The fourth proportional to 354,014.89, 530,789.64 and 171,597.40 is: 257,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,014.89 : 530,789.64 = 171,597.40 : x
  2. Step 2: Convert to fraction form
    354,014.89/530,789.64 = 171,597.40/x
  3. Step 3: Cross multiply
    354,014.89x = 530,789.64 × 171,597.40
  4. Step 4: Simplify right side
    354,014.89x = 91,082,120,200.47
  5. Step 5: Solve for x
    x = 91,082,120,200.47/354,014.89
  6. Step 6: Final answer
    x = 257,283.30

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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.