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Finding the Fourth Proportional to 275,875.38, 380,743.20 and 168,422.40

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Solution

The fourth proportional to 275,875.38, 380,743.20 and 168,422.40 is: 232,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,875.38 : 380,743.20 = 168,422.40 : x
  2. Step 2: Convert to fraction form
    275,875.38/380,743.20 = 168,422.40/x
  3. Step 3: Cross multiply
    275,875.38x = 380,743.20 × 168,422.40
  4. Step 4: Simplify right side
    275,875.38x = 64,125,683,527.68
  5. Step 5: Solve for x
    x = 64,125,683,527.68/275,875.38
  6. Step 6: Final answer
    x = 232,444.39

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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.