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Finding the Fourth Proportional to 400,827.60, 601,241.40 and 134,499.60

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Solution

The fourth proportional to 400,827.60, 601,241.40 and 134,499.60 is: 201,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,827.60 : 601,241.40 = 134,499.60 : x
  2. Step 2: Convert to fraction form
    400,827.60/601,241.40 = 134,499.60/x
  3. Step 3: Cross multiply
    400,827.60x = 601,241.40 × 134,499.60
  4. Step 4: Simplify right side
    400,827.60x = 80,866,727,803.44
  5. Step 5: Solve for x
    x = 80,866,727,803.44/400,827.60
  6. Step 6: Final answer
    x = 201,749.40

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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.