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Finding the Fourth Proportional to 497,630.69, 746,446.03 and 165,206.69

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Solution

The fourth proportional to 497,630.69, 746,446.03 and 165,206.69 is: 247,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,630.69 : 746,446.03 = 165,206.69 : x
  2. Step 2: Convert to fraction form
    497,630.69/746,446.03 = 165,206.69/x
  3. Step 3: Cross multiply
    497,630.69x = 746,446.03 × 165,206.69
  4. Step 4: Simplify right side
    497,630.69x = 123,317,877,879.94
  5. Step 5: Solve for x
    x = 123,317,877,879.94/497,630.69
  6. Step 6: Final answer
    x = 247,810.03

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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.