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Finding the Fourth Proportional to 684,005.10, 959,969.10 and 684,005.10

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Solution

The fourth proportional to 684,005.10, 959,969.10 and 684,005.10 is: 959,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,005.10 : 959,969.10 = 684,005.10 : x
  2. Step 2: Convert to fraction form
    684,005.10/959,969.10 = 684,005.10/x
  3. Step 3: Cross multiply
    684,005.10x = 959,969.10 × 684,005.10
  4. Step 4: Simplify right side
    684,005.10x = 656,623,760,242.41
  5. Step 5: Solve for x
    x = 656,623,760,242.41/684,005.10
  6. Step 6: Final answer
    x = 959,969.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.