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Finding the Fourth Proportional to 403,907.60, 605,861.40 and 123,422.42

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Solution

The fourth proportional to 403,907.60, 605,861.40 and 123,422.42 is: 185,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,907.60 : 605,861.40 = 123,422.42 : x
  2. Step 2: Convert to fraction form
    403,907.60/605,861.40 = 123,422.42/x
  3. Step 3: Cross multiply
    403,907.60x = 605,861.40 × 123,422.42
  4. Step 4: Simplify right side
    403,907.60x = 74,776,880,172.59
  5. Step 5: Solve for x
    x = 74,776,880,172.59/403,907.60
  6. Step 6: Final answer
    x = 185,133.63

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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.