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Finding the Fourth Proportional to 364,525.20, 546,787.80 and 204,436.80

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Solution

The fourth proportional to 364,525.20, 546,787.80 and 204,436.80 is: 306,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,525.20 : 546,787.80 = 204,436.80 : x
  2. Step 2: Convert to fraction form
    364,525.20/546,787.80 = 204,436.80/x
  3. Step 3: Cross multiply
    364,525.20x = 546,787.80 × 204,436.80
  4. Step 4: Simplify right side
    364,525.20x = 111,783,548,111.04
  5. Step 5: Solve for x
    x = 111,783,548,111.04/364,525.20
  6. Step 6: Final answer
    x = 306,655.20

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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.