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Finding the Fourth Proportional to 684,002.10, 959,964.90 and 684,002.10

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Solution

The fourth proportional to 684,002.10, 959,964.90 and 684,002.10 is: 959,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,002.10 : 959,964.90 = 684,002.10 : x
  2. Step 2: Convert to fraction form
    684,002.10/959,964.90 = 684,002.10/x
  3. Step 3: Cross multiply
    684,002.10x = 959,964.90 × 684,002.10
  4. Step 4: Simplify right side
    684,002.10x = 656,618,007,526.29
  5. Step 5: Solve for x
    x = 656,618,007,526.29/684,002.10
  6. Step 6: Final answer
    x = 959,964.90

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Why These Related Problems?

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