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Finding the Fourth Proportional to 424,066.77, 635,186.70 and 199,090.08

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Solution

The fourth proportional to 424,066.77, 635,186.70 and 199,090.08 is: 298,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,066.77 : 635,186.70 = 199,090.08 : x
  2. Step 2: Convert to fraction form
    424,066.77/635,186.70 = 199,090.08/x
  3. Step 3: Cross multiply
    424,066.77x = 635,186.70 × 199,090.08
  4. Step 4: Simplify right side
    424,066.77x = 126,459,370,917.94
  5. Step 5: Solve for x
    x = 126,459,370,917.94/424,066.77
  6. Step 6: Final answer
    x = 298,206.27

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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.