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Finding the Fourth Proportional to 685,689.62, 946,254.39 and 399,406.46

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Solution

The fourth proportional to 685,689.62, 946,254.39 and 399,406.46 is: 551,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,689.62 : 946,254.39 = 399,406.46 : x
  2. Step 2: Convert to fraction form
    685,689.62/946,254.39 = 399,406.46/x
  3. Step 3: Cross multiply
    685,689.62x = 946,254.39 × 399,406.46
  4. Step 4: Simplify right side
    685,689.62x = 377,940,116,169.36
  5. Step 5: Solve for x
    x = 377,940,116,169.36/685,689.62
  6. Step 6: Final answer
    x = 551,182.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.