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Finding the Fourth Proportional to 370,534.84, 511,339.92 and 200,768.96

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Solution

The fourth proportional to 370,534.84, 511,339.92 and 200,768.96 is: 277,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,534.84 : 511,339.92 = 200,768.96 : x
  2. Step 2: Convert to fraction form
    370,534.84/511,339.92 = 200,768.96/x
  3. Step 3: Cross multiply
    370,534.84x = 511,339.92 × 200,768.96
  4. Step 4: Simplify right side
    370,534.84x = 102,661,183,944.88
  5. Step 5: Solve for x
    x = 102,661,183,944.88/370,534.84
  6. Step 6: Final answer
    x = 277,062.16

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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.