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Finding the Fourth Proportional to 460,893.16, 691,338.88 and 180,213.56

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Solution

The fourth proportional to 460,893.16, 691,338.88 and 180,213.56 is: 270,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,893.16 : 691,338.88 = 180,213.56 : x
  2. Step 2: Convert to fraction form
    460,893.16/691,338.88 = 180,213.56/x
  3. Step 3: Cross multiply
    460,893.16x = 691,338.88 × 180,213.56
  4. Step 4: Simplify right side
    460,893.16x = 124,588,640,731.21
  5. Step 5: Solve for x
    x = 124,588,640,731.21/460,893.16
  6. Step 6: Final answer
    x = 270,320.00

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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.