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Finding the Fourth Proportional to 511,451.04, 705,754.26 and 296,567.82

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Solution

The fourth proportional to 511,451.04, 705,754.26 and 296,567.82 is: 409,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,451.04 : 705,754.26 = 296,567.82 : x
  2. Step 2: Convert to fraction form
    511,451.04/705,754.26 = 296,567.82/x
  3. Step 3: Cross multiply
    511,451.04x = 705,754.26 × 296,567.82
  4. Step 4: Simplify right side
    511,451.04x = 209,304,002,343.91
  5. Step 5: Solve for x
    x = 209,304,002,343.91/511,451.04
  6. Step 6: Final answer
    x = 409,235.66

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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.