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Finding the Fourth Proportional to 498,491.16, 747,911.70 and 311,283.96

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Solution

The fourth proportional to 498,491.16, 747,911.70 and 311,283.96 is: 467,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,491.16 : 747,911.70 = 311,283.96 : x
  2. Step 2: Convert to fraction form
    498,491.16/747,911.70 = 311,283.96/x
  3. Step 3: Cross multiply
    498,491.16x = 747,911.70 × 311,283.96
  4. Step 4: Simplify right side
    498,491.16x = 232,812,915,706.33
  5. Step 5: Solve for x
    x = 232,812,915,706.33/498,491.16
  6. Step 6: Final answer
    x = 467,035.19

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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.