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Finding the Fourth Proportional to 557,691.99, 769,613.05 and 316,020.63

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Solution

The fourth proportional to 557,691.99, 769,613.05 and 316,020.63 is: 436,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,691.99 : 769,613.05 = 316,020.63 : x
  2. Step 2: Convert to fraction form
    557,691.99/769,613.05 = 316,020.63/x
  3. Step 3: Cross multiply
    557,691.99x = 769,613.05 × 316,020.63
  4. Step 4: Simplify right side
    557,691.99x = 243,213,600,917.22
  5. Step 5: Solve for x
    x = 243,213,600,917.22/557,691.99
  6. Step 6: Final answer
    x = 436,107.39

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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.