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Finding the Fourth Proportional to 302,893.84, 417,920.09 and 172,042.38

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Solution

The fourth proportional to 302,893.84, 417,920.09 and 172,042.38 is: 237,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,893.84 : 417,920.09 = 172,042.38 : x
  2. Step 2: Convert to fraction form
    302,893.84/417,920.09 = 172,042.38/x
  3. Step 3: Cross multiply
    302,893.84x = 417,920.09 × 172,042.38
  4. Step 4: Simplify right side
    302,893.84x = 71,899,966,073.20
  5. Step 5: Solve for x
    x = 71,899,966,073.20/302,893.84
  6. Step 6: Final answer
    x = 237,376.79

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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.