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Finding the Fourth Proportional to 520,076.40, 780,114.60 and 342,783.60

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Solution

The fourth proportional to 520,076.40, 780,114.60 and 342,783.60 is: 514,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,076.40 : 780,114.60 = 342,783.60 : x
  2. Step 2: Convert to fraction form
    520,076.40/780,114.60 = 342,783.60/x
  3. Step 3: Cross multiply
    520,076.40x = 780,114.60 × 342,783.60
  4. Step 4: Simplify right side
    520,076.40x = 267,410,491,000.56
  5. Step 5: Solve for x
    x = 267,410,491,000.56/520,076.40
  6. Step 6: Final answer
    x = 514,175.40

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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.