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Finding the Fourth Proportional to 557,317.26, 769,097.97 and 302,668.38

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Solution

The fourth proportional to 557,317.26, 769,097.97 and 302,668.38 is: 417,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,317.26 : 769,097.97 = 302,668.38 : x
  2. Step 2: Convert to fraction form
    557,317.26/769,097.97 = 302,668.38/x
  3. Step 3: Cross multiply
    557,317.26x = 769,097.97 × 302,668.38
  4. Step 4: Simplify right side
    557,317.26x = 232,781,636,641.19
  5. Step 5: Solve for x
    x = 232,781,636,641.19/557,317.26
  6. Step 6: Final answer
    x = 417,682.45

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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.