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Finding the Fourth Proportional to 714,214.44, 985,615.38 and 408,297.60

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Solution

The fourth proportional to 714,214.44, 985,615.38 and 408,297.60 is: 563,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,214.44 : 985,615.38 = 408,297.60 : x
  2. Step 2: Convert to fraction form
    714,214.44/985,615.38 = 408,297.60/x
  3. Step 3: Cross multiply
    714,214.44x = 985,615.38 × 408,297.60
  4. Step 4: Simplify right side
    714,214.44x = 402,424,394,177.09
  5. Step 5: Solve for x
    x = 402,424,394,177.09/714,214.44
  6. Step 6: Final answer
    x = 563,450.38

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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.