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Finding the Fourth Proportional to 574,384.96, 792,896.28 and 408,919.60

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Solution

The fourth proportional to 574,384.96, 792,896.28 and 408,919.60 is: 564,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,384.96 : 792,896.28 = 408,919.60 : x
  2. Step 2: Convert to fraction form
    574,384.96/792,896.28 = 408,919.60/x
  3. Step 3: Cross multiply
    574,384.96x = 792,896.28 × 408,919.60
  4. Step 4: Simplify right side
    574,384.96x = 324,230,829,659.09
  5. Step 5: Solve for x
    x = 324,230,829,659.09/574,384.96
  6. Step 6: Final answer
    x = 564,483.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.