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Finding the Fourth Proportional to 413,694.53, 620,577.53 and 114,175.16

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Solution

The fourth proportional to 413,694.53, 620,577.53 and 114,175.16 is: 171,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,694.53 : 620,577.53 = 114,175.16 : x
  2. Step 2: Convert to fraction form
    413,694.53/620,577.53 = 114,175.16/x
  3. Step 3: Cross multiply
    413,694.53x = 620,577.53 × 114,175.16
  4. Step 4: Simplify right side
    413,694.53x = 70,854,538,503.95
  5. Step 5: Solve for x
    x = 70,854,538,503.95/413,694.53
  6. Step 6: Final answer
    x = 171,272.60

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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.