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Finding the Fourth Proportional to 460,692.60, 635,568.52 and 305,716.98

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Solution

The fourth proportional to 460,692.60, 635,568.52 and 305,716.98 is: 421,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,692.60 : 635,568.52 = 305,716.98 : x
  2. Step 2: Convert to fraction form
    460,692.60/635,568.52 = 305,716.98/x
  3. Step 3: Cross multiply
    460,692.60x = 635,568.52 × 305,716.98
  4. Step 4: Simplify right side
    460,692.60x = 194,304,088,517.47
  5. Step 5: Solve for x
    x = 194,304,088,517.47/460,692.60
  6. Step 6: Final answer
    x = 421,765.16

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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.