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Finding the Fourth Proportional to 511,449.54, 705,752.19 and 296,566.31

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Solution

The fourth proportional to 511,449.54, 705,752.19 and 296,566.31 is: 409,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,449.54 : 705,752.19 = 296,566.31 : x
  2. Step 2: Convert to fraction form
    511,449.54/705,752.19 = 296,566.31/x
  3. Step 3: Cross multiply
    511,449.54x = 705,752.19 × 296,566.31
  4. Step 4: Simplify right side
    511,449.54x = 209,302,324,527.10
  5. Step 5: Solve for x
    x = 209,302,324,527.10/511,449.54
  6. Step 6: Final answer
    x = 409,233.58

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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.