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Finding the Fourth Proportional to 526,448.22, 726,498.52 and 284,730.82

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Solution

The fourth proportional to 526,448.22, 726,498.52 and 284,730.82 is: 392,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,448.22 : 726,498.52 = 284,730.82 : x
  2. Step 2: Convert to fraction form
    526,448.22/726,498.52 = 284,730.82/x
  3. Step 3: Cross multiply
    526,448.22x = 726,498.52 × 284,730.82
  4. Step 4: Simplify right side
    526,448.22x = 206,856,519,328.39
  5. Step 5: Solve for x
    x = 206,856,519,328.39/526,448.22
  6. Step 6: Final answer
    x = 392,928.52

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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.