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Finding the Fourth Proportional to 575,406.82, 794,401.86 and 511,568.20

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Solution

The fourth proportional to 575,406.82, 794,401.86 and 511,568.20 is: 706,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,406.82 : 794,401.86 = 511,568.20 : x
  2. Step 2: Convert to fraction form
    575,406.82/794,401.86 = 511,568.20/x
  3. Step 3: Cross multiply
    575,406.82x = 794,401.86 × 511,568.20
  4. Step 4: Simplify right side
    575,406.82x = 406,390,729,596.85
  5. Step 5: Solve for x
    x = 406,390,729,596.85/575,406.82
  6. Step 6: Final answer
    x = 706,266.79

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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.