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Finding the Fourth Proportional to 301,573.95, 416,143.39 and 180,692.79

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Solution

The fourth proportional to 301,573.95, 416,143.39 and 180,692.79 is: 249,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,573.95 : 416,143.39 = 180,692.79 : x
  2. Step 2: Convert to fraction form
    301,573.95/416,143.39 = 180,692.79/x
  3. Step 3: Cross multiply
    301,573.95x = 416,143.39 × 180,692.79
  4. Step 4: Simplify right side
    301,573.95x = 75,194,110,179.16
  5. Step 5: Solve for x
    x = 75,194,110,179.16/301,573.95
  6. Step 6: Final answer
    x = 249,338.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.