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Finding the Fourth Proportional to 364,372, 546,840.24 and 252,835.36

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Solution

The fourth proportional to 364,372, 546,840.24 and 252,835.36 is: 379,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,372 : 546,840.24 = 252,835.36 : x
  2. Step 2: Convert to fraction form
    364,372/546,840.24 = 252,835.36/x
  3. Step 3: Cross multiply
    364,372x = 546,840.24 × 252,835.36
  4. Step 4: Simplify right side
    364,372x = 138,260,548,942.89
  5. Step 5: Solve for x
    x = 138,260,548,942.89/364,372
  6. Step 6: Final answer
    x = 379,448.88

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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.