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Finding the Fourth Proportional to 459,543.38, 633,858.21 and 298,109.97

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Solution

The fourth proportional to 459,543.38, 633,858.21 and 298,109.97 is: 411,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,543.38 : 633,858.21 = 298,109.97 : x
  2. Step 2: Convert to fraction form
    459,543.38/633,858.21 = 298,109.97/x
  3. Step 3: Cross multiply
    459,543.38x = 633,858.21 × 298,109.97
  4. Step 4: Simplify right side
    459,543.38x = 188,959,451,967.35
  5. Step 5: Solve for x
    x = 188,959,451,967.35/459,543.38
  6. Step 6: Final answer
    x = 411,189.59

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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.