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Finding the Fourth Proportional to 526,142.25, 726,147.38 and 296,746.61

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Solution

The fourth proportional to 526,142.25, 726,147.38 and 296,746.61 is: 409,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,142.25 : 726,147.38 = 296,746.61 : x
  2. Step 2: Convert to fraction form
    526,142.25/726,147.38 = 296,746.61/x
  3. Step 3: Cross multiply
    526,142.25x = 726,147.38 × 296,746.61
  4. Step 4: Simplify right side
    526,142.25x = 215,481,770,486.51
  5. Step 5: Solve for x
    x = 215,481,770,486.51/526,142.25
  6. Step 6: Final answer
    x = 409,550.40

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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.