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Finding the Fourth Proportional to 453,821.40, 680,732.10 and 416,496.60

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Solution

The fourth proportional to 453,821.40, 680,732.10 and 416,496.60 is: 624,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,821.40 : 680,732.10 = 416,496.60 : x
  2. Step 2: Convert to fraction form
    453,821.40/680,732.10 = 416,496.60/x
  3. Step 3: Cross multiply
    453,821.40x = 680,732.10 × 416,496.60
  4. Step 4: Simplify right side
    453,821.40x = 283,522,605,160.86
  5. Step 5: Solve for x
    x = 283,522,605,160.86/453,821.40
  6. Step 6: Final answer
    x = 624,744.90

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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.