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Finding the Fourth Proportional to 468,698.20, 646,804.04 and 253,838.51

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Solution

The fourth proportional to 468,698.20, 646,804.04 and 253,838.51 is: 350,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,698.20 : 646,804.04 = 253,838.51 : x
  2. Step 2: Convert to fraction form
    468,698.20/646,804.04 = 253,838.51/x
  3. Step 3: Cross multiply
    468,698.20x = 646,804.04 × 253,838.51
  4. Step 4: Simplify right side
    468,698.20x = 164,183,771,697.88
  5. Step 5: Solve for x
    x = 164,183,771,697.88/468,698.20
  6. Step 6: Final answer
    x = 350,297.43

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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.