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Finding the Fourth Proportional to 360,875.38, 498,009.09 and 199,741.62

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Solution

The fourth proportional to 360,875.38, 498,009.09 and 199,741.62 is: 275,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,875.38 : 498,009.09 = 199,741.62 : x
  2. Step 2: Convert to fraction form
    360,875.38/498,009.09 = 199,741.62/x
  3. Step 3: Cross multiply
    360,875.38x = 498,009.09 × 199,741.62
  4. Step 4: Simplify right side
    360,875.38x = 99,473,142,411.33
  5. Step 5: Solve for x
    x = 99,473,142,411.33/360,875.38
  6. Step 6: Final answer
    x = 275,644.03

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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.