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Finding the Fourth Proportional to 403,647.33, 605,459.91 and 175,942.80

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Solution

The fourth proportional to 403,647.33, 605,459.91 and 175,942.80 is: 263,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,647.33 : 605,459.91 = 175,942.80 : x
  2. Step 2: Convert to fraction form
    403,647.33/605,459.91 = 175,942.80/x
  3. Step 3: Cross multiply
    403,647.33x = 605,459.91 × 175,942.80
  4. Step 4: Simplify right side
    403,647.33x = 106,526,314,696.08
  5. Step 5: Solve for x
    x = 106,526,314,696.08/403,647.33
  6. Step 6: Final answer
    x = 263,909.38

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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.