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Finding the Fourth Proportional to 420,942.40, 580,909.06 and 229,968.12

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Solution

The fourth proportional to 420,942.40, 580,909.06 and 229,968.12 is: 317,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,942.40 : 580,909.06 = 229,968.12 : x
  2. Step 2: Convert to fraction form
    420,942.40/580,909.06 = 229,968.12/x
  3. Step 3: Cross multiply
    420,942.40x = 580,909.06 × 229,968.12
  4. Step 4: Simplify right side
    420,942.40x = 133,590,564,419.17
  5. Step 5: Solve for x
    x = 133,590,564,419.17/420,942.40
  6. Step 6: Final answer
    x = 317,360.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.