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Finding the Fourth Proportional to 433,118.84, 648,214.59 and 309,263.36

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Solution

The fourth proportional to 433,118.84, 648,214.59 and 309,263.36 is: 462,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,118.84 : 648,214.59 = 309,263.36 : x
  2. Step 2: Convert to fraction form
    433,118.84/648,214.59 = 309,263.36/x
  3. Step 3: Cross multiply
    433,118.84x = 648,214.59 × 309,263.36
  4. Step 4: Simplify right side
    433,118.84x = 200,469,022,104.42
  5. Step 5: Solve for x
    x = 200,469,022,104.42/433,118.84
  6. Step 6: Final answer
    x = 462,849.92

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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.