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Finding the Fourth Proportional to 512,155.60, 768,233.40 and 245,851.90

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Solution

The fourth proportional to 512,155.60, 768,233.40 and 245,851.90 is: 368,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,155.60 : 768,233.40 = 245,851.90 : x
  2. Step 2: Convert to fraction form
    512,155.60/768,233.40 = 245,851.90/x
  3. Step 3: Cross multiply
    512,155.60x = 768,233.40 × 245,851.90
  4. Step 4: Simplify right side
    512,155.60x = 188,871,641,033.46
  5. Step 5: Solve for x
    x = 188,871,641,033.46/512,155.60
  6. Step 6: Final answer
    x = 368,777.85

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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.