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Finding the Fourth Proportional to 703,182.12, 970,386.14 and 397,252.94

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Solution

The fourth proportional to 703,182.12, 970,386.14 and 397,252.94 is: 548,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,182.12 : 970,386.14 = 397,252.94 : x
  2. Step 2: Convert to fraction form
    703,182.12/970,386.14 = 397,252.94/x
  3. Step 3: Cross multiply
    703,182.12x = 970,386.14 × 397,252.94
  4. Step 4: Simplify right side
    703,182.12x = 385,488,751,067.78
  5. Step 5: Solve for x
    x = 385,488,751,067.78/703,182.12
  6. Step 6: Final answer
    x = 548,206.13

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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.