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Finding the Fourth Proportional to 557,322.66, 769,114.17 and 302,673.83

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Solution

The fourth proportional to 557,322.66, 769,114.17 and 302,673.83 is: 417,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,322.66 : 769,114.17 = 302,673.83 : x
  2. Step 2: Convert to fraction form
    557,322.66/769,114.17 = 302,673.83/x
  3. Step 3: Cross multiply
    557,322.66x = 769,114.17 × 302,673.83
  4. Step 4: Simplify right side
    557,322.66x = 232,790,727,695.60
  5. Step 5: Solve for x
    x = 232,790,727,695.60/557,322.66
  6. Step 6: Final answer
    x = 417,694.71

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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.