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Finding the Fourth Proportional to 294,498.51, 406,613.08 and 197,849.51

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Solution

The fourth proportional to 294,498.51, 406,613.08 and 197,849.51 is: 273,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,498.51 : 406,613.08 = 197,849.51 : x
  2. Step 2: Convert to fraction form
    294,498.51/406,613.08 = 197,849.51/x
  3. Step 3: Cross multiply
    294,498.51x = 406,613.08 × 197,849.51
  4. Step 4: Simplify right side
    294,498.51x = 80,448,198,637.59
  5. Step 5: Solve for x
    x = 80,448,198,637.59/294,498.51
  6. Step 6: Final answer
    x = 273,170.14

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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.