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Finding the Fourth Proportional to 364,512.30, 546,768.45 and 252,319.20

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Solution

The fourth proportional to 364,512.30, 546,768.45 and 252,319.20 is: 378,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,512.30 : 546,768.45 = 252,319.20 : x
  2. Step 2: Convert to fraction form
    364,512.30/546,768.45 = 252,319.20/x
  3. Step 3: Cross multiply
    364,512.30x = 546,768.45 × 252,319.20
  4. Step 4: Simplify right side
    364,512.30x = 137,960,177,889.24
  5. Step 5: Solve for x
    x = 137,960,177,889.24/364,512.30
  6. Step 6: Final answer
    x = 378,478.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.