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Finding the Fourth Proportional to 571,286.76, 857,050.02 and 171,956.76

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Solution

The fourth proportional to 571,286.76, 857,050.02 and 171,956.76 is: 257,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,286.76 : 857,050.02 = 171,956.76 : x
  2. Step 2: Convert to fraction form
    571,286.76/857,050.02 = 171,956.76/x
  3. Step 3: Cross multiply
    571,286.76x = 857,050.02 × 171,956.76
  4. Step 4: Simplify right side
    571,286.76x = 147,375,544,597.14
  5. Step 5: Solve for x
    x = 147,375,544,597.14/571,286.76
  6. Step 6: Final answer
    x = 257,971.22

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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.