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Finding the Fourth Proportional to 429,189.30, 645,339.15 and 419,858.10

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Solution

The fourth proportional to 429,189.30, 645,339.15 and 419,858.10 is: 631,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,189.30 : 645,339.15 = 419,858.10 : x
  2. Step 2: Convert to fraction form
    429,189.30/645,339.15 = 419,858.10/x
  3. Step 3: Cross multiply
    429,189.30x = 645,339.15 × 419,858.10
  4. Step 4: Simplify right side
    429,189.30x = 270,950,869,374.62
  5. Step 5: Solve for x
    x = 270,950,869,374.62/429,189.30
  6. Step 6: Final answer
    x = 631,308.54

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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.