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Finding the Fourth Proportional to 413,361.51, 620,045.61 and 113,858.61

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Solution

The fourth proportional to 413,361.51, 620,045.61 and 113,858.61 is: 170,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,361.51 : 620,045.61 = 113,858.61 : x
  2. Step 2: Convert to fraction form
    413,361.51/620,045.61 = 113,858.61/x
  3. Step 3: Cross multiply
    413,361.51x = 620,045.61 × 113,858.61
  4. Step 4: Simplify right side
    413,361.51x = 70,597,531,291.20
  5. Step 5: Solve for x
    x = 70,597,531,291.20/413,361.51
  6. Step 6: Final answer
    x = 170,788.84

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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.