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Finding the Fourth Proportional to 465,654.34, 697,897.42 and 199,101.96

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Solution

The fourth proportional to 465,654.34, 697,897.42 and 199,101.96 is: 298,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,654.34 : 697,897.42 = 199,101.96 : x
  2. Step 2: Convert to fraction form
    465,654.34/697,897.42 = 199,101.96/x
  3. Step 3: Cross multiply
    465,654.34x = 697,897.42 × 199,101.96
  4. Step 4: Simplify right side
    465,654.34x = 138,952,744,200.94
  5. Step 5: Solve for x
    x = 138,952,744,200.94/465,654.34
  6. Step 6: Final answer
    x = 298,403.20

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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.