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Finding the Fourth Proportional to 468,636.90, 702,955.35 and 343,299.30

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Solution

The fourth proportional to 468,636.90, 702,955.35 and 343,299.30 is: 514,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,636.90 : 702,955.35 = 343,299.30 : x
  2. Step 2: Convert to fraction form
    468,636.90/702,955.35 = 343,299.30/x
  3. Step 3: Cross multiply
    468,636.90x = 702,955.35 × 343,299.30
  4. Step 4: Simplify right side
    468,636.90x = 241,324,079,586.26
  5. Step 5: Solve for x
    x = 241,324,079,586.26/468,636.90
  6. Step 6: Final answer
    x = 514,948.95

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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.