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Finding the Fourth Proportional to 361,046.35, 498,259.53 and 199,901.40

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Solution

The fourth proportional to 361,046.35, 498,259.53 and 199,901.40 is: 275,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,046.35 : 498,259.53 = 199,901.40 : x
  2. Step 2: Convert to fraction form
    361,046.35/498,259.53 = 199,901.40/x
  3. Step 3: Cross multiply
    361,046.35x = 498,259.53 × 199,901.40
  4. Step 4: Simplify right side
    361,046.35x = 99,602,777,610.34
  5. Step 5: Solve for x
    x = 99,602,777,610.34/361,046.35
  6. Step 6: Final answer
    x = 275,872.55

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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.