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Finding the Fourth Proportional to 335,514.66, 463,181.70 and 258,861.66

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Solution

The fourth proportional to 335,514.66, 463,181.70 and 258,861.66 is: 357,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,514.66 : 463,181.70 = 258,861.66 : x
  2. Step 2: Convert to fraction form
    335,514.66/463,181.70 = 258,861.66/x
  3. Step 3: Cross multiply
    335,514.66x = 463,181.70 × 258,861.66
  4. Step 4: Simplify right side
    335,514.66x = 119,899,983,743.62
  5. Step 5: Solve for x
    x = 119,899,983,743.62/335,514.66
  6. Step 6: Final answer
    x = 357,361.39

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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.