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Finding the Fourth Proportional to 471,755.07, 707,002.02 and 171,953.82

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Solution

The fourth proportional to 471,755.07, 707,002.02 and 171,953.82 is: 257,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,755.07 : 707,002.02 = 171,953.82 : x
  2. Step 2: Convert to fraction form
    471,755.07/707,002.02 = 171,953.82/x
  3. Step 3: Cross multiply
    471,755.07x = 707,002.02 × 171,953.82
  4. Step 4: Simplify right side
    471,755.07x = 121,571,698,086.72
  5. Step 5: Solve for x
    x = 121,571,698,086.72/471,755.07
  6. Step 6: Final answer
    x = 257,700.88

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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.