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Finding the Fourth Proportional to 384,968.20, 576,796.20 and 328,543.60

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Solution

The fourth proportional to 384,968.20, 576,796.20 and 328,543.60 is: 492,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,968.20 : 576,796.20 = 328,543.60 : x
  2. Step 2: Convert to fraction form
    384,968.20/576,796.20 = 328,543.60/x
  3. Step 3: Cross multiply
    384,968.20x = 576,796.20 × 328,543.60
  4. Step 4: Simplify right side
    384,968.20x = 189,502,700,014.32
  5. Step 5: Solve for x
    x = 189,502,700,014.32/384,968.20
  6. Step 6: Final answer
    x = 492,255.46

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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.