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Finding the Fourth Proportional to 370,464.59, 511,238.31 and 200,697.50

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Solution

The fourth proportional to 370,464.59, 511,238.31 and 200,697.50 is: 276,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,464.59 : 511,238.31 = 200,697.50 : x
  2. Step 2: Convert to fraction form
    370,464.59/511,238.31 = 200,697.50/x
  3. Step 3: Cross multiply
    370,464.59x = 511,238.31 × 200,697.50
  4. Step 4: Simplify right side
    370,464.59x = 102,604,250,721.23
  5. Step 5: Solve for x
    x = 102,604,250,721.23/370,464.59
  6. Step 6: Final answer
    x = 276,961.02

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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.