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Finding the Fourth Proportional to 511,801.82, 706,058.13 and 296,817.29

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Solution

The fourth proportional to 511,801.82, 706,058.13 and 296,817.29 is: 409,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,801.82 : 706,058.13 = 296,817.29 : x
  2. Step 2: Convert to fraction form
    511,801.82/706,058.13 = 296,817.29/x
  3. Step 3: Cross multiply
    511,801.82x = 706,058.13 × 296,817.29
  4. Step 4: Simplify right side
    511,801.82x = 209,570,260,729.07
  5. Step 5: Solve for x
    x = 209,570,260,729.07/511,801.82
  6. Step 6: Final answer
    x = 409,475.41

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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.