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Finding the Fourth Proportional to 475,101.88, 712,505.30 and 171,456.57

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Solution

The fourth proportional to 475,101.88, 712,505.30 and 171,456.57 is: 257,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,101.88 : 712,505.30 = 171,456.57 : x
  2. Step 2: Convert to fraction form
    475,101.88/712,505.30 = 171,456.57/x
  3. Step 3: Cross multiply
    475,101.88x = 712,505.30 × 171,456.57
  4. Step 4: Simplify right side
    475,101.88x = 122,163,713,987.54
  5. Step 5: Solve for x
    x = 122,163,713,987.54/475,101.88
  6. Step 6: Final answer
    x = 257,131.62

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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.