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Finding the Fourth Proportional to 419,361.44, 628,802.33 and 194,606.28

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Solution

The fourth proportional to 419,361.44, 628,802.33 and 194,606.28 is: 291,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,361.44 : 628,802.33 = 194,606.28 : x
  2. Step 2: Convert to fraction form
    419,361.44/628,802.33 = 194,606.28/x
  3. Step 3: Cross multiply
    419,361.44x = 628,802.33 × 194,606.28
  4. Step 4: Simplify right side
    419,361.44x = 122,368,881,323.60
  5. Step 5: Solve for x
    x = 122,368,881,323.60/419,361.44
  6. Step 6: Final answer
    x = 291,798.13

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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.