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Finding the Fourth Proportional to 294,284, 406,083.84 and 165,192.92

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Solution

The fourth proportional to 294,284, 406,083.84 and 165,192.92 is: 227,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,284 : 406,083.84 = 165,192.92 : x
  2. Step 2: Convert to fraction form
    294,284/406,083.84 = 165,192.92/x
  3. Step 3: Cross multiply
    294,284x = 406,083.84 × 165,192.92
  4. Step 4: Simplify right side
    294,284x = 67,082,175,294.41
  5. Step 5: Solve for x
    x = 67,082,175,294.41/294,284
  6. Step 6: Final answer
    x = 227,950.47

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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.