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Finding the Fourth Proportional to 370,585.44, 511,405.92 and 200,818.08

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Solution

The fourth proportional to 370,585.44, 511,405.92 and 200,818.08 is: 277,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,585.44 : 511,405.92 = 200,818.08 : x
  2. Step 2: Convert to fraction form
    370,585.44/511,405.92 = 200,818.08/x
  3. Step 3: Cross multiply
    370,585.44x = 511,405.92 × 200,818.08
  4. Step 4: Simplify right side
    370,585.44x = 102,699,554,955.03
  5. Step 5: Solve for x
    x = 102,699,554,955.03/370,585.44
  6. Step 6: Final answer
    x = 277,127.87

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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.