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Finding the Fourth Proportional to 453,751, 681,047.34 and 229,269.09

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Solution

The fourth proportional to 453,751, 681,047.34 and 229,269.09 is: 344,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,751 : 681,047.34 = 229,269.09 : x
  2. Step 2: Convert to fraction form
    453,751/681,047.34 = 229,269.09/x
  3. Step 3: Cross multiply
    453,751x = 681,047.34 × 229,269.09
  4. Step 4: Simplify right side
    453,751x = 156,143,103,888.72
  5. Step 5: Solve for x
    x = 156,143,103,888.72/453,751
  6. Step 6: Final answer
    x = 344,116.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.