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Finding the Fourth Proportional to 557,613.32, 769,513.38 and 302,968.76

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Solution

The fourth proportional to 557,613.32, 769,513.38 and 302,968.76 is: 418,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,613.32 : 769,513.38 = 302,968.76 : x
  2. Step 2: Convert to fraction form
    557,613.32/769,513.38 = 302,968.76/x
  3. Step 3: Cross multiply
    557,613.32x = 769,513.38 × 302,968.76
  4. Step 4: Simplify right side
    557,613.32x = 233,138,514,542.01
  5. Step 5: Solve for x
    x = 233,138,514,542.01/557,613.32
  6. Step 6: Final answer
    x = 418,100.69

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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.