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Finding the Fourth Proportional to 547,639.40, 820,844.70 and 232,042.60

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Solution

The fourth proportional to 547,639.40, 820,844.70 and 232,042.60 is: 347,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,639.40 : 820,844.70 = 232,042.60 : x
  2. Step 2: Convert to fraction form
    547,639.40/820,844.70 = 232,042.60/x
  3. Step 3: Cross multiply
    547,639.40x = 820,844.70 × 232,042.60
  4. Step 4: Simplify right side
    547,639.40x = 190,470,938,384.22
  5. Step 5: Solve for x
    x = 190,470,938,384.22/547,639.40
  6. Step 6: Final answer
    x = 347,803.57

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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.