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Finding the Fourth Proportional to 416,678.72, 574,638.68 and 273,384.32

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Solution

The fourth proportional to 416,678.72, 574,638.68 and 273,384.32 is: 377,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,678.72 : 574,638.68 = 273,384.32 : x
  2. Step 2: Convert to fraction form
    416,678.72/574,638.68 = 273,384.32/x
  3. Step 3: Cross multiply
    416,678.72x = 574,638.68 × 273,384.32
  4. Step 4: Simplify right side
    416,678.72x = 157,097,204,777.50
  5. Step 5: Solve for x
    x = 157,097,204,777.50/416,678.72
  6. Step 6: Final answer
    x = 377,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.