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Finding the Fourth Proportional to 338,164.86, 507,022.18 and 202,924.42

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Solution

The fourth proportional to 338,164.86, 507,022.18 and 202,924.42 is: 304,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,164.86 : 507,022.18 = 202,924.42 : x
  2. Step 2: Convert to fraction form
    338,164.86/507,022.18 = 202,924.42/x
  3. Step 3: Cross multiply
    338,164.86x = 507,022.18 × 202,924.42
  4. Step 4: Simplify right side
    338,164.86x = 102,887,181,803.64
  5. Step 5: Solve for x
    x = 102,887,181,803.64/338,164.86
  6. Step 6: Final answer
    x = 304,251.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.