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Finding the Fourth Proportional to 539,142.66, 808,714.08 and 254,861.82

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Solution

The fourth proportional to 539,142.66, 808,714.08 and 254,861.82 is: 382,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,142.66 : 808,714.08 = 254,861.82 : x
  2. Step 2: Convert to fraction form
    539,142.66/808,714.08 = 254,861.82/x
  3. Step 3: Cross multiply
    539,142.66x = 808,714.08 × 254,861.82
  4. Step 4: Simplify right side
    539,142.66x = 206,110,342,288.43
  5. Step 5: Solve for x
    x = 206,110,342,288.43/539,142.66
  6. Step 6: Final answer
    x = 382,292.77

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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.