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Finding the Fourth Proportional to 409,310.97, 560,758.07 and 393,970.34

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Solution

The fourth proportional to 409,310.97, 560,758.07 and 393,970.34 is: 539,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,310.97 : 560,758.07 = 393,970.34 : x
  2. Step 2: Convert to fraction form
    409,310.97/560,758.07 = 393,970.34/x
  3. Step 3: Cross multiply
    409,310.97x = 560,758.07 × 393,970.34
  4. Step 4: Simplify right side
    409,310.97x = 220,922,047,495.64
  5. Step 5: Solve for x
    x = 220,922,047,495.64/409,310.97
  6. Step 6: Final answer
    x = 539,741.33

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