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Finding the Fourth Proportional to 460,894.14, 691,340.40 and 180,214.56

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Solution

The fourth proportional to 460,894.14, 691,340.40 and 180,214.56 is: 270,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,894.14 : 691,340.40 = 180,214.56 : x
  2. Step 2: Convert to fraction form
    460,894.14/691,340.40 = 180,214.56/x
  3. Step 3: Cross multiply
    460,894.14x = 691,340.40 × 180,214.56
  4. Step 4: Simplify right side
    460,894.14x = 124,589,605,996.22
  5. Step 5: Solve for x
    x = 124,589,605,996.22/460,894.14
  6. Step 6: Final answer
    x = 270,321.52

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1.5x scale

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.