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Finding the Fourth Proportional to 362,464.44, 544,028.82 and 194,174.80

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Solution

The fourth proportional to 362,464.44, 544,028.82 and 194,174.80 is: 291,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,464.44 : 544,028.82 = 194,174.80 : x
  2. Step 2: Convert to fraction form
    362,464.44/544,028.82 = 194,174.80/x
  3. Step 3: Cross multiply
    362,464.44x = 544,028.82 × 194,174.80
  4. Step 4: Simplify right side
    362,464.44x = 105,636,687,317.74
  5. Step 5: Solve for x
    x = 105,636,687,317.74/362,464.44
  6. Step 6: Final answer
    x = 291,440.14

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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.