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Finding the Fourth Proportional to 289,217.70, 433,915.17 and 129,428.10

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Solution

The fourth proportional to 289,217.70, 433,915.17 and 129,428.10 is: 194,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,217.70 : 433,915.17 = 129,428.10 : x
  2. Step 2: Convert to fraction form
    289,217.70/433,915.17 = 129,428.10/x
  3. Step 3: Cross multiply
    289,217.70x = 433,915.17 × 129,428.10
  4. Step 4: Simplify right side
    289,217.70x = 56,160,816,014.28
  5. Step 5: Solve for x
    x = 56,160,816,014.28/289,217.70
  6. Step 6: Final answer
    x = 194,181.81

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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.