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Finding the Fourth Proportional to 367,959.24, 507,788.28 and 206,804.88

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Solution

The fourth proportional to 367,959.24, 507,788.28 and 206,804.88 is: 285,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,959.24 : 507,788.28 = 206,804.88 : x
  2. Step 2: Convert to fraction form
    367,959.24/507,788.28 = 206,804.88/x
  3. Step 3: Cross multiply
    367,959.24x = 507,788.28 × 206,804.88
  4. Step 4: Simplify right side
    367,959.24x = 105,013,094,310.81
  5. Step 5: Solve for x
    x = 105,013,094,310.81/367,959.24
  6. Step 6: Final answer
    x = 285,393.28

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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.