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Finding the Fourth Proportional to 547,643.40, 820,850.70 and 232,046.60

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Solution

The fourth proportional to 547,643.40, 820,850.70 and 232,046.60 is: 347,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,643.40 : 820,850.70 = 232,046.60 : x
  2. Step 2: Convert to fraction form
    547,643.40/820,850.70 = 232,046.60/x
  3. Step 3: Cross multiply
    547,643.40x = 820,850.70 × 232,046.60
  4. Step 4: Simplify right side
    547,643.40x = 190,475,614,042.62
  5. Step 5: Solve for x
    x = 190,475,614,042.62/547,643.40
  6. Step 6: Final answer
    x = 347,809.57

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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.