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Finding the Fourth Proportional to 617,992.16, 852,758.70 and 346,022.24

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Solution

The fourth proportional to 617,992.16, 852,758.70 and 346,022.24 is: 477,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,992.16 : 852,758.70 = 346,022.24 : x
  2. Step 2: Convert to fraction form
    617,992.16/852,758.70 = 346,022.24/x
  3. Step 3: Cross multiply
    617,992.16x = 852,758.70 × 346,022.24
  4. Step 4: Simplify right side
    617,992.16x = 295,073,475,553.49
  5. Step 5: Solve for x
    x = 295,073,475,553.49/617,992.16
  6. Step 6: Final answer
    x = 477,471.23

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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.