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Finding the Fourth Proportional to 617,993.16, 852,760.08 and 346,023.24

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Solution

The fourth proportional to 617,993.16, 852,760.08 and 346,023.24 is: 477,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,993.16 : 852,760.08 = 346,023.24 : x
  2. Step 2: Convert to fraction form
    617,993.16/852,760.08 = 346,023.24/x
  3. Step 3: Cross multiply
    617,993.16x = 852,760.08 × 346,023.24
  4. Step 4: Simplify right side
    617,993.16x = 295,074,805,824.26
  5. Step 5: Solve for x
    x = 295,074,805,824.26/617,993.16
  6. Step 6: Final answer
    x = 477,472.61

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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.