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Finding the Fourth Proportional to 370,697.67, 511,562.25 and 200,931.80

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Solution

The fourth proportional to 370,697.67, 511,562.25 and 200,931.80 is: 277,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,697.67 : 511,562.25 = 200,931.80 : x
  2. Step 2: Convert to fraction form
    370,697.67/511,562.25 = 200,931.80/x
  3. Step 3: Cross multiply
    370,697.67x = 511,562.25 × 200,931.80
  4. Step 4: Simplify right side
    370,697.67x = 102,789,121,146.74
  5. Step 5: Solve for x
    x = 102,789,121,146.74/370,697.67
  6. Step 6: Final answer
    x = 277,285.59

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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.