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Finding the Fourth Proportional to 407,441.55, 611,745.53 and 230,294.55

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Solution

The fourth proportional to 407,441.55, 611,745.53 and 230,294.55 is: 345,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,441.55 : 611,745.53 = 230,294.55 : x
  2. Step 2: Convert to fraction form
    407,441.55/611,745.53 = 230,294.55/x
  3. Step 3: Cross multiply
    407,441.55x = 611,745.53 × 230,294.55
  4. Step 4: Simplify right side
    407,441.55x = 140,881,660,394.39
  5. Step 5: Solve for x
    x = 140,881,660,394.39/407,441.55
  6. Step 6: Final answer
    x = 345,771.46

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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.