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Finding the Fourth Proportional to 370,463.59, 511,236.93 and 200,696.50

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Solution

The fourth proportional to 370,463.59, 511,236.93 and 200,696.50 is: 276,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,463.59 : 511,236.93 = 200,696.50 : x
  2. Step 2: Convert to fraction form
    370,463.59/511,236.93 = 200,696.50/x
  3. Step 3: Cross multiply
    370,463.59x = 511,236.93 × 200,696.50
  4. Step 4: Simplify right side
    370,463.59x = 102,603,462,521.75
  5. Step 5: Solve for x
    x = 102,603,462,521.75/370,463.59
  6. Step 6: Final answer
    x = 276,959.64

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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.