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Finding the Fourth Proportional to 370,568.40, 511,383.96 and 200,802.48

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Solution

The fourth proportional to 370,568.40, 511,383.96 and 200,802.48 is: 277,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,568.40 : 511,383.96 = 200,802.48 : x
  2. Step 2: Convert to fraction form
    370,568.40/511,383.96 = 200,802.48/x
  3. Step 3: Cross multiply
    370,568.40x = 511,383.96 × 200,802.48
  4. Step 4: Simplify right side
    370,568.40x = 102,687,167,400.22
  5. Step 5: Solve for x
    x = 102,687,167,400.22/370,568.40
  6. Step 6: Final answer
    x = 277,107.19

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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.