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Finding the Fourth Proportional to 476,454.96, 714,806.37 and 177,021.86

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Solution

The fourth proportional to 476,454.96, 714,806.37 and 177,021.86 is: 265,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,454.96 : 714,806.37 = 177,021.86 : x
  2. Step 2: Convert to fraction form
    476,454.96/714,806.37 = 177,021.86/x
  3. Step 3: Cross multiply
    476,454.96x = 714,806.37 × 177,021.86
  4. Step 4: Simplify right side
    476,454.96x = 126,536,349,583.22
  5. Step 5: Solve for x
    x = 126,536,349,583.22/476,454.96
  6. Step 6: Final answer
    x = 265,578.83

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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.