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Finding the Fourth Proportional to 543,314.40, 814,971.60 and 494,325.60

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Solution

The fourth proportional to 543,314.40, 814,971.60 and 494,325.60 is: 741,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,314.40 : 814,971.60 = 494,325.60 : x
  2. Step 2: Convert to fraction form
    543,314.40/814,971.60 = 494,325.60/x
  3. Step 3: Cross multiply
    543,314.40x = 814,971.60 × 494,325.60
  4. Step 4: Simplify right side
    543,314.40x = 402,861,325,152.96
  5. Step 5: Solve for x
    x = 402,861,325,152.96/543,314.40
  6. Step 6: Final answer
    x = 741,488.40

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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.