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Finding the Fourth Proportional to 392,013.60, 587,145.60 and 322,029.60

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Solution

The fourth proportional to 392,013.60, 587,145.60 and 322,029.60 is: 482,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,013.60 : 587,145.60 = 322,029.60 : x
  2. Step 2: Convert to fraction form
    392,013.60/587,145.60 = 322,029.60/x
  3. Step 3: Cross multiply
    392,013.60x = 587,145.60 × 322,029.60
  4. Step 4: Simplify right side
    392,013.60x = 189,078,262,709.76
  5. Step 5: Solve for x
    x = 189,078,262,709.76/392,013.60
  6. Step 6: Final answer
    x = 482,325.77

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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.