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Finding the Fourth Proportional to 684,015.40, 959,196.20 and 684,015.40

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Solution

The fourth proportional to 684,015.40, 959,196.20 and 684,015.40 is: 959,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,015.40 : 959,196.20 = 684,015.40 : x
  2. Step 2: Convert to fraction form
    684,015.40/959,196.20 = 684,015.40/x
  3. Step 3: Cross multiply
    684,015.40x = 959,196.20 × 684,015.40
  4. Step 4: Simplify right side
    684,015.40x = 656,104,972,421.48
  5. Step 5: Solve for x
    x = 656,104,972,421.48/684,015.40
  6. Step 6: Final answer
    x = 959,196.20

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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.