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Finding the Fourth Proportional to 522,571.08, 721,158.92 and 296,216.58

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Solution

The fourth proportional to 522,571.08, 721,158.92 and 296,216.58 is: 408,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,571.08 : 721,158.92 = 296,216.58 : x
  2. Step 2: Convert to fraction form
    522,571.08/721,158.92 = 296,216.58/x
  3. Step 3: Cross multiply
    522,571.08x = 721,158.92 × 296,216.58
  4. Step 4: Simplify right side
    522,571.08x = 213,619,228,918.89
  5. Step 5: Solve for x
    x = 213,619,228,918.89/522,571.08
  6. Step 6: Final answer
    x = 408,785.02

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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.