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Finding the Fourth Proportional to 517,670.52, 776,692.62 and 180,760.80

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Solution

The fourth proportional to 517,670.52, 776,692.62 and 180,760.80 is: 271,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,670.52 : 776,692.62 = 180,760.80 : x
  2. Step 2: Convert to fraction form
    517,670.52/776,692.62 = 180,760.80/x
  3. Step 3: Cross multiply
    517,670.52x = 776,692.62 × 180,760.80
  4. Step 4: Simplify right side
    517,670.52x = 140,395,579,345.30
  5. Step 5: Solve for x
    x = 140,395,579,345.30/517,670.52
  6. Step 6: Final answer
    x = 271,206.44

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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.