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Finding the Fourth Proportional to 423,494.51, 584,165.86 and 251,299.24

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Solution

The fourth proportional to 423,494.51, 584,165.86 and 251,299.24 is: 346,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,494.51 : 584,165.86 = 251,299.24 : x
  2. Step 2: Convert to fraction form
    423,494.51/584,165.86 = 251,299.24/x
  3. Step 3: Cross multiply
    423,494.51x = 584,165.86 × 251,299.24
  4. Step 4: Simplify right side
    423,494.51x = 146,800,434,563.28
  5. Step 5: Solve for x
    x = 146,800,434,563.28/423,494.51
  6. Step 6: Final answer
    x = 346,640.71

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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.