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Finding the Fourth Proportional to 461,604.96, 692,621.76 and 177,200.88

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Solution

The fourth proportional to 461,604.96, 692,621.76 and 177,200.88 is: 265,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,604.96 : 692,621.76 = 177,200.88 : x
  2. Step 2: Convert to fraction form
    461,604.96/692,621.76 = 177,200.88/x
  3. Step 3: Cross multiply
    461,604.96x = 692,621.76 × 177,200.88
  4. Step 4: Simplify right side
    461,604.96x = 122,733,185,379.15
  5. Step 5: Solve for x
    x = 122,733,185,379.15/461,604.96
  6. Step 6: Final answer
    x = 265,883.59

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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.