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Finding the Fourth Proportional to 364,376, 546,846.24 and 252,839.36

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Solution

The fourth proportional to 364,376, 546,846.24 and 252,839.36 is: 379,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,376 : 546,846.24 = 252,839.36 : x
  2. Step 2: Convert to fraction form
    364,376/546,846.24 = 252,839.36/x
  3. Step 3: Cross multiply
    364,376x = 546,846.24 × 252,839.36
  4. Step 4: Simplify right side
    364,376x = 138,264,253,340.01
  5. Step 5: Solve for x
    x = 138,264,253,340.01/364,376
  6. Step 6: Final answer
    x = 379,454.89

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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.