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Finding the Fourth Proportional to 429,774.33, 644,661.50 and 149,291.85

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Solution

The fourth proportional to 429,774.33, 644,661.50 and 149,291.85 is: 223,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,774.33 : 644,661.50 = 149,291.85 : x
  2. Step 2: Convert to fraction form
    429,774.33/644,661.50 = 149,291.85/x
  3. Step 3: Cross multiply
    429,774.33x = 644,661.50 × 149,291.85
  4. Step 4: Simplify right side
    429,774.33x = 96,242,707,958.78
  5. Step 5: Solve for x
    x = 96,242,707,958.78/429,774.33
  6. Step 6: Final answer
    x = 223,937.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.