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Finding the Fourth Proportional to 364,422.80, 546,634.20 and 342,261.20

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Solution

The fourth proportional to 364,422.80, 546,634.20 and 342,261.20 is: 513,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,422.80 : 546,634.20 = 342,261.20 : x
  2. Step 2: Convert to fraction form
    364,422.80/546,634.20 = 342,261.20/x
  3. Step 3: Cross multiply
    364,422.80x = 546,634.20 × 342,261.20
  4. Step 4: Simplify right side
    364,422.80x = 187,091,677,253.04
  5. Step 5: Solve for x
    x = 187,091,677,253.04/364,422.80
  6. Step 6: Final answer
    x = 513,391.80

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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.