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Finding the Fourth Proportional to 468,609.68, 702,915.96 and 219,466.64

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Solution

The fourth proportional to 468,609.68, 702,915.96 and 219,466.64 is: 329,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,609.68 : 702,915.96 = 219,466.64 : x
  2. Step 2: Convert to fraction form
    468,609.68/702,915.96 = 219,466.64/x
  3. Step 3: Cross multiply
    468,609.68x = 702,915.96 × 219,466.64
  4. Step 4: Simplify right side
    468,609.68x = 154,266,603,943.57
  5. Step 5: Solve for x
    x = 154,266,603,943.57/468,609.68
  6. Step 6: Final answer
    x = 329,200.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.