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Finding the Fourth Proportional to 456,264.57, 629,692.40 and 262,679.16

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Solution

The fourth proportional to 456,264.57, 629,692.40 and 262,679.16 is: 362,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,264.57 : 629,692.40 = 262,679.16 : x
  2. Step 2: Convert to fraction form
    456,264.57/629,692.40 = 262,679.16/x
  3. Step 3: Cross multiply
    456,264.57x = 629,692.40 × 262,679.16
  4. Step 4: Simplify right side
    456,264.57x = 165,407,071,347.08
  5. Step 5: Solve for x
    x = 165,407,071,347.08/456,264.57
  6. Step 6: Final answer
    x = 362,524.47

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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.