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Finding the Fourth Proportional to 608,815.64, 840,108.38 and 412,182.14

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Solution

The fourth proportional to 608,815.64, 840,108.38 and 412,182.14 is: 568,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,815.64 : 840,108.38 = 412,182.14 : x
  2. Step 2: Convert to fraction form
    608,815.64/840,108.38 = 412,182.14/x
  3. Step 3: Cross multiply
    608,815.64x = 840,108.38 × 412,182.14
  4. Step 4: Simplify right side
    608,815.64x = 346,277,669,900.33
  5. Step 5: Solve for x
    x = 346,277,669,900.33/608,815.64
  6. Step 6: Final answer
    x = 568,772.63

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Why These Related Problems?

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