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Finding the Fourth Proportional to 512,135.82, 706,743.54 and 297,295.92

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Solution

The fourth proportional to 512,135.82, 706,743.54 and 297,295.92 is: 410,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,135.82 : 706,743.54 = 297,295.92 : x
  2. Step 2: Convert to fraction form
    512,135.82/706,743.54 = 297,295.92/x
  3. Step 3: Cross multiply
    512,135.82x = 706,743.54 × 297,295.92
  4. Step 4: Simplify right side
    512,135.82x = 210,111,970,928.36
  5. Step 5: Solve for x
    x = 210,111,970,928.36/512,135.82
  6. Step 6: Final answer
    x = 410,266.11

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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.