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Finding the Fourth Proportional to 429,729.12, 644,594.40 and 149,049

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Solution

The fourth proportional to 429,729.12, 644,594.40 and 149,049 is: 223,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,729.12 : 644,594.40 = 149,049 : x
  2. Step 2: Convert to fraction form
    429,729.12/644,594.40 = 149,049/x
  3. Step 3: Cross multiply
    429,729.12x = 644,594.40 × 149,049
  4. Step 4: Simplify right side
    429,729.12x = 96,076,150,725.60
  5. Step 5: Solve for x
    x = 96,076,150,725.60/429,729.12
  6. Step 6: Final answer
    x = 223,573.75

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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.