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Finding the Fourth Proportional to 385,504.40, 577,997.40 and 205,619.60

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Solution

The fourth proportional to 385,504.40, 577,997.40 and 205,619.60 is: 308,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,504.40 : 577,997.40 = 205,619.60 : x
  2. Step 2: Convert to fraction form
    385,504.40/577,997.40 = 205,619.60/x
  3. Step 3: Cross multiply
    385,504.40x = 577,997.40 × 205,619.60
  4. Step 4: Simplify right side
    385,504.40x = 118,847,594,189.04
  5. Step 5: Solve for x
    x = 118,847,594,189.04/385,504.40
  6. Step 6: Final answer
    x = 308,291.15

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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.