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Finding the Fourth Proportional to 409,692.52, 614,728.86 and 173,090.44

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Solution

The fourth proportional to 409,692.52, 614,728.86 and 173,090.44 is: 259,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,692.52 : 614,728.86 = 173,090.44 : x
  2. Step 2: Convert to fraction form
    409,692.52/614,728.86 = 173,090.44/x
  3. Step 3: Cross multiply
    409,692.52x = 614,728.86 × 173,090.44
  4. Step 4: Simplify right side
    409,692.52x = 106,403,688,858.10
  5. Step 5: Solve for x
    x = 106,403,688,858.10/409,692.52
  6. Step 6: Final answer
    x = 259,715.97

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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.