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Finding the Fourth Proportional to 297,890.13, 411,042.56 and 176,986.68

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Solution

The fourth proportional to 297,890.13, 411,042.56 and 176,986.68 is: 244,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,890.13 : 411,042.56 = 176,986.68 : x
  2. Step 2: Convert to fraction form
    297,890.13/411,042.56 = 176,986.68/x
  3. Step 3: Cross multiply
    297,890.13x = 411,042.56 × 176,986.68
  4. Step 4: Simplify right side
    297,890.13x = 72,749,057,148.17
  5. Step 5: Solve for x
    x = 72,749,057,148.17/297,890.13
  6. Step 6: Final answer
    x = 244,214.39

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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.