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Finding the Fourth Proportional to 409,309.47, 560,756.01 and 393,968.84

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Solution

The fourth proportional to 409,309.47, 560,756.01 and 393,968.84 is: 539,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,309.47 : 560,756.01 = 393,968.84 : x
  2. Step 2: Convert to fraction form
    409,309.47/560,756.01 = 393,968.84/x
  3. Step 3: Cross multiply
    409,309.47x = 560,756.01 × 393,968.84
  4. Step 4: Simplify right side
    409,309.47x = 220,920,391,978.95
  5. Step 5: Solve for x
    x = 220,920,391,978.95/409,309.47
  6. Step 6: Final answer
    x = 539,739.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.