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Finding the Fourth Proportional to 423,292.86, 635,001.25 and 198,676.11

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Solution

The fourth proportional to 423,292.86, 635,001.25 and 198,676.11 is: 298,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,292.86 : 635,001.25 = 198,676.11 : x
  2. Step 2: Convert to fraction form
    423,292.86/635,001.25 = 198,676.11/x
  3. Step 3: Cross multiply
    423,292.86x = 635,001.25 × 198,676.11
  4. Step 4: Simplify right side
    423,292.86x = 126,159,574,523.44
  5. Step 5: Solve for x
    x = 126,159,574,523.44/423,292.86
  6. Step 6: Final answer
    x = 298,043.24

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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.