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Finding the Fourth Proportional to 302,854.43, 417,941.91 and 166,893.24

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Solution

The fourth proportional to 302,854.43, 417,941.91 and 166,893.24 is: 230,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,854.43 : 417,941.91 = 166,893.24 : x
  2. Step 2: Convert to fraction form
    302,854.43/417,941.91 = 166,893.24/x
  3. Step 3: Cross multiply
    302,854.43x = 417,941.91 × 166,893.24
  4. Step 4: Simplify right side
    302,854.43x = 69,751,679,491.69
  5. Step 5: Solve for x
    x = 69,751,679,491.69/302,854.43
  6. Step 6: Final answer
    x = 230,314.21

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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.