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Finding the Fourth Proportional to 292,361.60, 438,505.94 and 82,015.94

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Solution

The fourth proportional to 292,361.60, 438,505.94 and 82,015.94 is: 123,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,361.60 : 438,505.94 = 82,015.94 : x
  2. Step 2: Convert to fraction form
    292,361.60/438,505.94 = 82,015.94/x
  3. Step 3: Cross multiply
    292,361.60x = 438,505.94 × 82,015.94
  4. Step 4: Simplify right side
    292,361.60x = 35,964,476,864.68
  5. Step 5: Solve for x
    x = 35,964,476,864.68/292,361.60
  6. Step 6: Final answer
    x = 123,013.68

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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.