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Finding the Fourth Proportional to 544,140.78, 816,295.66 and 277,757.16

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Solution

The fourth proportional to 544,140.78, 816,295.66 and 277,757.16 is: 416,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,140.78 : 816,295.66 = 277,757.16 : x
  2. Step 2: Convert to fraction form
    544,140.78/816,295.66 = 277,757.16/x
  3. Step 3: Cross multiply
    544,140.78x = 816,295.66 × 277,757.16
  4. Step 4: Simplify right side
    544,140.78x = 226,731,964,241.93
  5. Step 5: Solve for x
    x = 226,731,964,241.93/544,140.78
  6. Step 6: Final answer
    x = 416,678.87

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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.