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Finding the Fourth Proportional to 468,709.52, 646,815.90 and 253,844.66

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Solution

The fourth proportional to 468,709.52, 646,815.90 and 253,844.66 is: 350,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,709.52 : 646,815.90 = 253,844.66 : x
  2. Step 2: Convert to fraction form
    468,709.52/646,815.90 = 253,844.66/x
  3. Step 3: Cross multiply
    468,709.52x = 646,815.90 × 253,844.66
  4. Step 4: Simplify right side
    468,709.52x = 164,190,762,218.09
  5. Step 5: Solve for x
    x = 164,190,762,218.09/468,709.52
  6. Step 6: Final answer
    x = 350,303.88

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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.