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Finding the Fourth Proportional to 410,127.21, 565,907.64 and 273,942.72

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Solution

The fourth proportional to 410,127.21, 565,907.64 and 273,942.72 is: 377,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,127.21 : 565,907.64 = 273,942.72 : x
  2. Step 2: Convert to fraction form
    410,127.21/565,907.64 = 273,942.72/x
  3. Step 3: Cross multiply
    410,127.21x = 565,907.64 × 273,942.72
  4. Step 4: Simplify right side
    410,127.21x = 155,026,278,170.38
  5. Step 5: Solve for x
    x = 155,026,278,170.38/410,127.21
  6. Step 6: Final answer
    x = 377,995.59

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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.