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Finding the Fourth Proportional to 403,843.40, 605,765.10 and 385,472.60

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Solution

The fourth proportional to 403,843.40, 605,765.10 and 385,472.60 is: 578,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,843.40 : 605,765.10 = 385,472.60 : x
  2. Step 2: Convert to fraction form
    403,843.40/605,765.10 = 385,472.60/x
  3. Step 3: Cross multiply
    403,843.40x = 605,765.10 × 385,472.60
  4. Step 4: Simplify right side
    403,843.40x = 233,505,848,086.26
  5. Step 5: Solve for x
    x = 233,505,848,086.26/403,843.40
  6. Step 6: Final answer
    x = 578,208.90

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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.