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Finding the Fourth Proportional to 511,394.85, 705,663.29 and 293,591.52

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Solution

The fourth proportional to 511,394.85, 705,663.29 and 293,591.52 is: 405,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,394.85 : 705,663.29 = 293,591.52 : x
  2. Step 2: Convert to fraction form
    511,394.85/705,663.29 = 293,591.52/x
  3. Step 3: Cross multiply
    511,394.85x = 705,663.29 × 293,591.52
  4. Step 4: Simplify right side
    511,394.85x = 207,176,757,919.30
  5. Step 5: Solve for x
    x = 207,176,757,919.30/511,394.85
  6. Step 6: Final answer
    x = 405,120.93

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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.