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Finding the Fourth Proportional to 517,790.26, 776,871.69 and 180,880.48

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Solution

The fourth proportional to 517,790.26, 776,871.69 and 180,880.48 is: 271,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,790.26 : 776,871.69 = 180,880.48 : x
  2. Step 2: Convert to fraction form
    517,790.26/776,871.69 = 180,880.48/x
  3. Step 3: Cross multiply
    517,790.26x = 776,871.69 × 180,880.48
  4. Step 4: Simplify right side
    517,790.26x = 140,520,924,185.61
  5. Step 5: Solve for x
    x = 140,520,924,185.61/517,790.26
  6. Step 6: Final answer
    x = 271,385.80

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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.