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Finding the Fourth Proportional to 370,338.68, 511,064.83 and 200,569.40

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Solution

The fourth proportional to 370,338.68, 511,064.83 and 200,569.40 is: 276,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,338.68 : 511,064.83 = 200,569.40 : x
  2. Step 2: Convert to fraction form
    370,338.68/511,064.83 = 200,569.40/x
  3. Step 3: Cross multiply
    370,338.68x = 511,064.83 × 200,569.40
  4. Step 4: Simplify right side
    370,338.68x = 102,503,963,257.45
  5. Step 5: Solve for x
    x = 102,503,963,257.45/370,338.68
  6. Step 6: Final answer
    x = 276,784.39

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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.