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Finding the Fourth Proportional to 334,475.86, 461,577.89 and 181,514.01

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Solution

The fourth proportional to 334,475.86, 461,577.89 and 181,514.01 is: 250,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,475.86 : 461,577.89 = 181,514.01 : x
  2. Step 2: Convert to fraction form
    334,475.86/461,577.89 = 181,514.01/x
  3. Step 3: Cross multiply
    334,475.86x = 461,577.89 × 181,514.01
  4. Step 4: Simplify right side
    334,475.86x = 83,782,853,741.24
  5. Step 5: Solve for x
    x = 83,782,853,741.24/334,475.86
  6. Step 6: Final answer
    x = 250,489.99

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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.