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Finding the Fourth Proportional to 512,111.76, 706,608.73 and 294,278.36

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Solution

The fourth proportional to 512,111.76, 706,608.73 and 294,278.36 is: 406,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,111.76 : 706,608.73 = 294,278.36 : x
  2. Step 2: Convert to fraction form
    512,111.76/706,608.73 = 294,278.36/x
  3. Step 3: Cross multiply
    512,111.76x = 706,608.73 × 294,278.36
  4. Step 4: Simplify right side
    512,111.76x = 207,939,658,226.08
  5. Step 5: Solve for x
    x = 207,939,658,226.08/512,111.76
  6. Step 6: Final answer
    x = 406,043.51

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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.