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Finding the Fourth Proportional to 370,705.29, 511,559.60 and 200,935.77

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Solution

The fourth proportional to 370,705.29, 511,559.60 and 200,935.77 is: 277,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,705.29 : 511,559.60 = 200,935.77 : x
  2. Step 2: Convert to fraction form
    370,705.29/511,559.60 = 200,935.77/x
  3. Step 3: Cross multiply
    370,705.29x = 511,559.60 × 200,935.77
  4. Step 4: Simplify right side
    370,705.29x = 102,790,621,122.21
  5. Step 5: Solve for x
    x = 102,790,621,122.21/370,705.29
  6. Step 6: Final answer
    x = 277,283.93

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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.