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Finding the Fourth Proportional to 798,446, 1,197,681.96 and 229,834.64

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Solution

The fourth proportional to 798,446, 1,197,681.96 and 229,834.64 is: 344,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,446 : 1,197,681.96 = 229,834.64 : x
  2. Step 2: Convert to fraction form
    798,446/1,197,681.96 = 229,834.64/x
  3. Step 3: Cross multiply
    798,446x = 1,197,681.96 × 229,834.64
  4. Step 4: Simplify right side
    798,446x = 275,268,802,111.09
  5. Step 5: Solve for x
    x = 275,268,802,111.09/798,446
  6. Step 6: Final answer
    x = 344,755.69

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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.