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Finding the Fourth Proportional to 367,924.42, 507,777.65 and 204,597.10

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Solution

The fourth proportional to 367,924.42, 507,777.65 and 204,597.10 is: 282,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,924.42 : 507,777.65 = 204,597.10 : x
  2. Step 2: Convert to fraction form
    367,924.42/507,777.65 = 204,597.10/x
  3. Step 3: Cross multiply
    367,924.42x = 507,777.65 × 204,597.10
  4. Step 4: Simplify right side
    367,924.42x = 103,889,834,634.82
  5. Step 5: Solve for x
    x = 103,889,834,634.82/367,924.42
  6. Step 6: Final answer
    x = 282,367.33

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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.